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ooking at how likely a given email is to be spam based on the words it contains. In particular, in this problem we’re going to count how often words are present in spam emails within some set of training data (which here means a set of emails that have already been marked as spam or not spam manually).
We have already started to write a function spam_score(spam_file, not_file, word), which takes in two filenames, along with a target word (a lowercase string). Both filenames refer to text files which must be in the same directory as hw07.py (we’ve provided several such files in hw07files.zip). The text files contain one email per line (really just the subject line to keep things simple) - you can assume that these emails will be a series of words separated by spaces with no punctuation. The first file contains emails that have been identified as spam, the second contains emails that have been identified as not spam.
Since you haven’t learned File I/O yet, we’ve provided code that opens the two files and puts the data into two lists of strings (where each element is one line - that is, one email). You then must complete the function, so that it returns the spam score for the target word. The spam score is an integer representing the total number of times the target word occurs across all the spam emails, minus the total number of times the word occurs in not-spam emails. Convert all words to lowercase before counting, to ensure capitalization does not throw off the count.

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of Sport-Equip Ltd, a company that sells sports equipment. Some of the users
who visit the website end up buying sports equipment from the website while others are
simply browsing in order to obtain product information.
(a) Clearly explain and justify which probability distribution you would use to
describe the number of Internet users who visit the website of Sport-Equip Ltd
in a one hour period. [There is no need to calculate any probabilities for this part
of the question]
(5 marks)
(b) What is the probability that during any half-hour period, there will be less than 3
visitors to the website?
(5 marks)
(c) What is the probability that during any two-hour period, there will be more than
15 visitors to the website?
(5 marks)
(d) If a user has just visited the website, find the probability that the website will
have another visitor within the next 10 minutes. In your answer, state the
probability distribution you have used and explain your choice.
(4 marks)
(e) It is estimated that 40% of Internet users who visit Sport-Equip Ltd’s website
buy a product from the company. If 100 users visit the website over a given
period of time, find the probability that more than 50 of them will buy a product
from the company. In your answer, state the probability distribution you have
used and explain your choice

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added to it, without creating a precipitate?

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ss of the previous inputs. If the lock has buttons representing the digits 0-9 then there are 10000 possible combinations from 0000-9999. In class, we indicated that no less than 10003 digits must be pressed to test every possible four digit sequence.
Is there a sequence of length 10003 that tests all possible combinations. If so, this sequence must be given to me in your write up as well as an explanation on how you came up with this sequence.
If there is no sequence of length 10003 that tests all possible combinations, can you come up a sequence with less than the maximum number (40000) which tests all possibilities? How did you come up with this sequence?

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y aces or twos, you lose the game immediately. You also lose if you draw picture cards(J,Q,K) more than twice. In this question, you’ll study the probability of winning this game.(a) What is the probability of drawing no aces or twos after thirteen draws?(b) Given you have drawn thirteen times, none of which is aces or twos, what is the probability that you draw at most two picture cards?(c) What is the probability to win this game?
12. Suppose you are tossing an unbiased coin for100times.(a) What is the probability of getting50heads and50tails?(b) LetXbe the random variable counting the number of heads you observe in this exper-iment. What is the expected value ofX? What is the variance ofX? What is thestandard deviation ofX?
13. The following are probability distributions for two random variablesX,Y.
kPr(X=k)
0,0.4
1,0.3
2,0.3
kPr(Y=k)
0,0.5
1,0.3
2,0.2
(a) Construct the probability distribution table for the random variableXY.(b) Find E[X],E[Y] and E[XY]. Is is true that E[XY] =E[X]E[Y]?(c) Find the variances σ2X,σ2Y,σ2XY of X,Y and XY. Is it true that σ2XY=σ2Xσ2Y?
14. The aliens who are fond of gambling came back to play another game with you. In this game, you first toss a coin5times. If you observe3or fewer tails, you roll a die3times. If youobserve4or more tails, you roll a die20times. What is the probability that you end up with at most two6’s in your dice rolls?
15. (Challenge question, worth2points) You have two bags, each of which contains10marbles.Each time you remove a marble from a random bag. What is the probability that after one of the bags is emptied, there are still exactly3marbles in the other bag?

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. Identify 2 facts discussed at the beginning of the lecture (within the first 20-25 minutes) that you were unaware of prior to listening to his lecture. What does he say about these facts? Why are these facts significant? How might these facts impact American culture as well as African American culture? 3. What Akala's address. Identify 2 facts discussed at the end of the lecture (within the last 50 minutes to the end of the video) that you were unaware of prior to listening to his lecture. What does he say about these facts? Why are these facts significant? How might these facts impact American culture as well as African American culture? 4. Select 2 facts from Akala's address that you would like to know more about. Research the topic and write a 1-2 paged paper discussing what you learned. Tell why these facts interest you. How might these facts and what you learned impact you and AA culture? 5. Select 2 facts from Akala's address that you would like to know more about. Research the topic and write a 1-2 paged paper discussing what you learned. Tell why these facts interest you. How might these facts and what you learned impact you and AA culture? 6. Notice the audience members in attendance at Akala's speech given at Oxford. Use what you learned about the mis-education of a Negro to discuss what/who you see. Do you think Akala is mis-educated is some regards? Why or why not. 2-3 paragraphs

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a one million square foot warehouse that they have recently developed. In typical Wal-Mart fashion, they have given you a “take it, or leave it” final offer. The terms are:
Purchase Price: $165 million
Facility Size 1,000,000 SF
Lease Term 7 years
Rent $7 PSF NNN
Operating Expenses Wal-Mart (tenant) pays all operating expenses, utilities, and property taxes (owner pays none)
Renewal Options 7-year extension at $8 per ft2; a second 7 year extension at $9.50 per ft 2; a third 7 year extension at $11.50 per ft.2. All at Wal-Mart’s choice (i.e. it’s Wal-Mart’s option). Wal-Mart pays all operating expenses, utilities, property taxes, and capital expenditures undertaken during all lease renewal periods.
You know the market and feel that the location is good, and that the warehouse market is in good supply/demand balance. Vacancy rates are 4% - 5% in quality facilities, while net rents in the market are running about $7.50 - $8 PSF (i.e. a slight premium to the Wal-Mart lease). You have recently seen comparable sales that have traded in the range of $160 - $200 PSF. You also know that implied discount rates are currently at about a 3% premium to implied cap rates and capital costs are running at $0.50 PSF per annum.
You know from your Real Estate Finance & Investments classes that you can value a building using a direct capitalization approach, a comps analysis and a DCF analysis. You also have a handy template that you’ve been using for these analyses which you will need to complete in order to come to a view on value.
It’s decision time…would you agree to pay the $165 million that Wal-Mart is asking? Why or why not?

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van and Alex, have the same productivities: Sylvan is identical to Rajan, while Alex
and Esther are identical.
Esther and Rajan both engage in market work. Sylvan works full time at home, so only Alex works in the
market.
a) Given this information, which couple has the higher opportunity cost of home produced goods?
Explain how you determined this. You can add a diagram if that helps, but you are not required
to include one.
b) Can you determine which couple has the higher utility? Explain why or why not.
Suppose now that value of market production for both Alex and Esther increased to $12/per hour.
c) Explain the change in the household joint production possibility frontier generated by this
change.
d) Explain what would happen to each couple’s choice of both household and market produced
goods, using an analysis by means of income and substitution effects.
e) What changes in time allocation for each couple that would be necessary to produce and
consume this new bundle? Briefly explain your reasoning.

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your research question.
Final Mission: You will use the given dataset to develop a research question, create background on the topic related to the research question, and complete an analysis of the data to answer that research question.
Guidelines
➢ Use no more than 12 slides with a voice-over description for each slide. You may be creative with background and animation for the slide show but remember that it is the content that is most important (and animation, etc. can greatly increase your file size).
➢ Include an introductory slide that states your name, credentials, and title of your presentation.
➢ Present your research question.
➢ Identify the appropriate statistical test to answer the research question.
o Identify your variables of interest.
o Identify how they are measured and match them to the appropriate statistical test.
➢ Identify and evaluate appropriate assumptions to meet the test.
o Each statistical test comes with a set of assumptions that must be met in order to use the test; conditions that must be satisfied before using the test.
o Explain the assumptions and show how they have been met as well as how you would “fix” them if they were “broken.”
➢ Provide a justification for all the choices you made in the decision of which statistic to use and explain the necessary tests associated with it in terms someone not familiar with it would understand.
➢ Use APA format for any citations within the PowerPoint.

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rts to the fireworks platforms: one part is on the ground and the
other part is on top of a building. You are going to graph all of your results on one
coordinate plane. Make sure to label each graph with its equation. Use the following
equations to assist with this assignment.
• The function for objects dropped from a height where t is the time in
seconds, h is the height in feet at time it t, and 0 h is the initial height is
2
0 ht t h ( ) 16 =− + .
• The function for objects that are launched where t is the time in seconds, h is
the height in feet at time t, 0 h is the initial height, and 0 v is the initial velocity
in feet per second is 2
0 0 ht t vt h ( ) 16 =− + + .
Select the link below to access centimeter grid paper for your portfolio.
Centimeter Grid Paper
Task 1
First, conduct some research to help you with later portions of this portfolio
assessment.
• Find a local building and estimate its height. How tall do you think the
building is?
• Use the Internet to find some initial velocities for different types of fireworks.
What are some of the initial velocities that you found?
Task 2
Respond to the following items.
1. While setting up a fireworks display, you have a tool at the top of the
building and need to drop it to a coworker below.
a. How long will it take the tool to fall to the ground? (Hint: use the first
equation that you were given above, 2
0 ht t h ( ) 16 =− + . For the building’s
height, use the height of the building that you estimated in Task 1.)
b. Draw a graph that represents the path of this tool falling to the
ground. Be sure to label your axes with a title and a scale. Your graph
should show the height of the tool, h, after t seconds have passed.
Label this line “Tool”.

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12.the Michael family wish to purchase a spa pool and install this on the page SEO of their house they ...

have decided on the pool in the picture above the pool costs 6999 plus 219 for delivery it will cost 320 plus GST 15% to get an electrician to install a special plug for the pool the pool cover costs 479 however Mr Michael has negotiated a 20% discount the family have been given approval for a loan of up to 6999 Loan the bank to pay for the pool the lawn has an interest rate of 5.45% the loan & interests need to be repaid by the end of 12 months the family have saved 1000 to cover the cost of delivery installation and the cover they can spare one-tenth of their weekly income to repay the loan.can the Michael family afford to buy the spa pool you must show all working and state what you are calculating at each step

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13.You are given a set of five and a set of seven contiguous boxes as shown in the figures above. ...

task is to move all the reds from the left to the right and all the blacks from the right to the left. The middlebox is empty to allow moves.
The moves follow strict rules.
Rule # 1: the reds can only move to the right and the blacks can only move to the left. No backward moves are allowed
Rule # 2: Equally applicable to the black and the reds, each dot can only move one step forward in the box in front of it is empty, and can skip the contiguous box is occupied by a different colored dot to the following box if empty.
While moving your pieces, carefully record all the moves you made. Start first with the 5-boxes set, then the 7-boxes set
Try the same rules for a 9-boxes set and then for an 11-boxes set. Record all your moves on paper
Examine all four cases and find a pattern that relates the number of moves to the number of dots. Explain how you arrived at this conclusion
Create a general formula that will give the number of moves based on the number of dots regardless of how many dots you have.

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ft a budget proposal in order for them to go and seek funding. The management team supplies you with the following information.
The company will not generate any income for the first 3 months of the year (jan - march) on the 4th month the company will generate sales of R500 000.00 thereafter the company sales will increase by 10% until December.
Salaries will be R85 000.00 a month from the beginning of the year. There will be increase of 7% which will only be applicable as if the sixth month. Staff bonus will be payable in December and will amount R28 000
Stationary printing expenses are estimated to be R10 000. 00( vat excluded) every month.
Telephone expenses in January are expected to be R5 500.00(vat excluded) and will increase by 5% every month.
Rent will be payable from the 3rd month at a cost of R 20 000.00. There will be decrease of 5% from August to the end if the year and the company will be given a rental discount of 10% in December.
Return on the investment will be as follows: april R90 000.00 August and September will be R80 000.00 december R150 000.00 all returns will be taxable according appropriate tax standards.
Draw a cash budget for XYP (pty) Ltd for the year ending 31 December 2018 (30)

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g that some composers are only after money and fame, and not for the sake of passion.

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interface would define a way to establish numeric priority among a set of objects. Your numeric priority values should be on a scale. For easy comparing of priorities, make 1 the lowest priority. It should be more complex than just 1, 2, 3 (low, medium, high). Define constants in the interface for the low, medium, and high priority values. Design and implement a class called Task that represents a task (e.g., something on a to-do list) that implements the Priority interface from above, as well as the Comparable interface from the Java standard class library. A task should have some sort of description. Illustrate your design with a UML class diagram. Create a driver whose main method exercises some Task objects. Make sure you have enough tasks to produce comparisons where a given task is higher, lower, or equal in priority to some other task. Implement the interface such that the tasks are ranked by priority. Create a driver class that shows these new features of Task objects.

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ow do you substitute to get your answer. How do you make X the subject of the formula

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nging the "profile" of the paper. They are now interested in finding out if the distribution over educational levels among readers has changed since the change in the profile. You have been given the task of analysing if the distribution has changed.

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inefficiencies, etc), and suggest an improved process. Open and read the Process Improvement (Final Q 1)
document which describes the process steps in words and also includes a process map as a visual tool for understanding what's going on in each step. You will need to respond to the following three sub-questions:
FINAL Q1: 3 Attachments are the Q1
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I need the 3 part question answered. This is everything in the question.. Understand that there is NOTHING INCOMPLETE, I have added everything that was sent to us.
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a. Of the 9 process steps in the Process Improvement (Final Q 1) document, which specific steps in that process are experiencing lean wastes and/or process cycle time issues (please note, there is more than one step experiencing issues). In your response, name the process step, and/or the transfer interface between steps, and what waste(s) or cycle time issue is involved. Be sure to use standard lean/six sigma terminology that we used in the course when referring to any of the quality concepts; e.g., transportation waste when referring to situations involving a lot of moving around from one place to another.
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b. Which of the process steps you identified in part a do you believe could benefit from process improvement and why?
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c. What changes would you institute in the process to improve the steps you cited in part b of this question and describe how those changes improves the process. Be specific about which process step(s) your improving and thoroughly describe the improvement to that step. [Note: This question ties to what you decided was important in part b question above.] Also, when answering how you would improve a given process step, assume you have an unlimited budget and personnel resources and you can do mostly anything you want as long as it doesn't violate the laws of physics or the judicial system. Be cautious though because process improvement is designed to save time, money, and resources in doing the needed work.For example, automation is good, and also potentially expensive, so is it worth it for the improvement? - you will have to be the judge of that.

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21.I was told to do an investigation for my school where I found that the cost and energy used of ...

ances can vary between brands. I am given a follow-up question to answer which I am stuck on. The question is , " What are the implications of your findings for social or economic issues in Ontario?" Could you hello me answer this question?

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tains 40 questions on the material that we have covered during class lectures and the recorded videos (Chapters 1, 2, 3, 4, 5, 8, 9, and 10). You will be given 80 minutes to submit your answers. The final exam will be found under "Online Exams" module on Canvas.
The final exam will be available from 8:00 a.m. - 9:35 a.m. and you'll have 80 minutes to complete the test. This means that if you decide to start the exam at 9:00 a.m., you'll have 35 minutes to submit your answers. The test will no longer be available after 9:35 a.m. Please plan accordingly!
Before you take the online final exam, make sure to use "Chrome" Browser. Canvas operates best under Chrome. Also, stay as close as possible to your router in order to avoid any internet disconnection problems.
You are welcome to use your class notes and the textbook. Make sure to have a periodic table with you, a scientific calculator, and scrap paper. The final exam questions will be in the same format as the previous exams 3 & 4.
I will be available this weekend if you have questions.

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lve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.
Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit.
Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.
Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.
Let f be a twice-differentiable function such that f′(2)=0 . The second derivative of f is given by f′′(x)=x2e2−x−1 for 0≤x≤6 .
(a) On what open intervals contained in 0
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or comparing groups in observational and randomized controlled studies, examine Michelle Bachman’s claim about vaccines linked in the video segment:
“There's a woman who came up crying to me tonight after the debate. She said her daughter was given that vaccine (HPV). She told me her daughter suffered mental retardation as a result of that vaccine. There are very dangerous consequences. It's not good enough to take, quote, 'a mulligan' where you want a do-over, not when you have little children's lives at risk.
She told me that her little daughter took that vaccine, that injection, and she suffered from mental retardation thereafter. It can have very dangerous side effects. The mother was crying what she came up to me last night. I didn't know who she was before the debate. This is a very real concern and people have to draw their own conclusions."
Why is this argument a good candidate for a questionable cause fallacy? What is Bachman’s premise? What is her conclusion?
Answer here.
Premise: ??
Conclusion: ??

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ar. What’s the function rule that represents this situation

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say, comparing the differences, if any, between what you observe for cells with beads A and cells with beads B.
beads A x10 objective:
beads A x25 objective
beads B x10 objective
beads B x25 objective
Question 8 [short Text answer]
Marked out of 15.0
Using either your own cells with beads A or B, or the online images of the same, calculate a phagocytosis index for each treatment. Give the numbers of cells counted, numbers of beads etc and the final PI numbers as mentioned in the practical handout.
Question 9 [Text answer: Up to 250 words]
Marked out of 15.0
Beads A are clean beads , whereas beads B were pre-coated in surface layer of mouse immunoglobulin G (IgG). What differences might you expect (whether your experiment worked or not) upon exposing the mouse RAW 264.7 macrophages cells to these different beads. (do not give a mechanistic reason for it here, just what you might expect to happen)
Question 10 [Text answer: up to 250 words]
Marked out of 15.0
What immunological mechanism(s) might be involved in altering phagocytosis given your knowledge of the beads and cells, irrespective of whether you saw in your own experiment?

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a program designed to provide a decent standard of living to all Americans by spreading the nation’s wealth among the people.
Long proposed capping personal fortunes at $50 million each (roughly $600 million in today's dollars) through a restructured, progressive federal tax code and sharing the resulting revenue with the public through government benefits and public works. In subsequent speeches and writings, he revised his graduated tax levy on wealth over $1 million to cap fortunes at $5 - $8 million (or $60 - $96 million today).
The full text of this speech, as printed in Long's official Share Our Wealth pamphlet (see right), appears below.
“EVERY MAN A KING”
Share Our Wealth Radio Speech by Senator Huey P. Long, of Louisiana, February 23, 1934
I
s that a right of life when the young children of this country are being reared into a sphere which is more owned by 12 men than it is by 120,000,000 people?”
Ladies and Gentlemen: —
I have only 30 minutes in which to speak to you this evening, and I, therefore, will not be able to discuss in detail so much as I can write when I have all of the time and space that is allowed me for the subjects, but I will undertake to sketch them very briefly without manuscript or preparation, so that you can understand them so well as I can tell them to you tonight.
I contend, my friends, that we have no difficult problem to solve in America, and that is the view of nearly everyone with whom I have discussed the matter here in Washington and elsewhere throughout the United States—that we have no very difficult problem to solve.
It is not the difficulty of the problem which we have; it is the fact that the rich people of this country—and by rich people I mean the super-rich—will not allow us to solve the problems, or rather the one little problem that is afflicting this country, because in order to cure all of our woes it is necessary to scale down the big fortunes, that we may scatter the wealth to be shared by all of the people.
We have a marvelous love for this Government of ours; in fact, it is almost a religion, and it is well that it should be, because we have a splendid form of government and we have a splendid set of laws. We have everything here that we need, except that we have neglected the fundamentals upon which the American Government was principally predicated.
How many of you remember the first thing that the Declaration of Independence said? It said: "We hold these truths to be self-evident, that there are certain inalienable rights for the people, and among them are life, liberty, and the pursuit of happiness;" and it said further, "We hold the view that all men are created equal."
Now, what did they mean by that? Did they mean, my friends, to say that all men are created equal and that that meant that any one man was born to inherit $10,000,000,000 and that another child was to be born to inherit nothing?
Did that mean, my friends, that someone would come into this world without having had an opportunity, of course, to have hit one lick of work, should be born with more than it and all of its children and children's children could ever dispose of, but that another one would have to be born into a life of starvation?
That was not the meaning of the Declaration of Independence when it said that all men are created equal or "That we hold that all men are created equal."
Nor was it the meaning of the Declaration of Independence when it said that they held that there were certain rights that were inalienable—the right of life, liberty, and the pursuit of happiness.
Is that right of life, my friends, when the young children of this country are being reared into a sphere which is more owned by 12 men than it by 120,000,000 people?
Is that, my friends, giving them a fair shake of the dice or anything like the inalienable right of life, liberty, and the pursuit of happiness, or anything resembling the fact that all people are created equal; when we have today in America thousands and hundreds of thousands and millions of children on the verge of starvation in a land that is overflowing with too much to eat and too much to wear?
I do not think you will contend that, and I do not think for a moment that they will contend it.
Now let us see if we cannot return this Government to the Declaration of Independence and see if we are going to do anything regarding it. Why should we hesitate or why should we quibble or why should we quarrel with one another to find out what the difficulty is, when we know that the Lord told us what the difficulty is, and Moses wrote it out so a blind man could see it, then Jesus told us all about it, and it was later written in the Book of James, where everyone could read it?
I refer to the Scriptures, now, my friends, and give you what it says not for the purpose of convincing you of the wisdom of myself, not for the purpose, ladies and gentlemen, of convincing you of the fact that I am quoting the Scriptures means that I am to be more believed than someone else; but I quote you the Scripture, or rather refer you to the Scripture, because whatever you see there you may rely upon will never be disproved so long as you or your children or anyone may live; and you may further depend upon the fact that not one historical fact that the Bible has ever contained has ever yet been disproved by any scientific discovery or by reason of anything that has been disclosed to man through his own individual mind or through the wisdom of the Lord which the Lord has allowed him to have.
But the Scripture says, ladies and gentlemen, that no country can survive, or for a country to survive it is necessary that we keep the wealth scattered among the people, that nothing should keep the wealth scattered among the people, that nothing should be held permanently by any one person, and that 50 years seems to be the year of jubilee in which all property would be scattered about and returned to the sources from which it originally came, and every seventh year debt should be remitted.
Those two things the Almighty said to be necessary—I should say He knew to be necessary, or else He would not have so prescribed that the property would be kept among the general run of the people, and that everyone would continue to share in it; so that no one man would get half of it and hand it down to a son, who takes half of what was left, and that son hand it down to another one, who would take half of what was left, until, like a snowball going downhill, all of the snow was off of the ground except what the snowball had.
I believe that was the judgment and the view and the law of the Lord, that we would have to distribute wealth ever so often, in order that there could not be people starving to death in a land of plenty, as there is in America today.
We have in America today more wealth, more goods, more food, more clothing, more houses than we have ever had. We have everything in abundance here.
We have the farm problem, my friends, because we have too much cotton, because we have too much wheat, and have too much corn, and too much potatoes.
We have a home loan problem, because we have too many houses, and yet nobody can buy them and live in them.
We have trouble, my friends, in the country, because we have too much money owing, the greatest indebtedness that has ever been given to civilization, where it has been shown that we are incapable of distributing the actual things that are here, because the people have not money enough to supply themselves with them, and because the greed of a few men is such that they think it is necessary that they own everything, and their pleasure consists in the starvation of the masses, and in their possessing things they cannot use, and their children cannot use, but who bask in the splendor of sunlight and wealth, casting darkness and despair and impressing it on everyone else.
"So, therefore," said the Lord in effect, "if you see these things that now have occurred and exist in this and other countries, there must be a constant scattering of wealth in any country if this country is to survive."
"Then," said the Lord, in effect, "every seventh year there shall be a remission of debts; there will be no debts after 7 years." That was the law.
Now, let us take America today. We have in America today, ladies and gentlemen, $272,000,000,000 of debt. Two hundred and seventy-two thousand millions of dollars of debts are owed by the various people of this country today. Why, my friends, that cannot be paid. It is not possible for that kind of debt to be paid.
The entire currency of the United States is only $6,000,000,000. That is all of the money that we have got in America today. All the actual money you have got in all of your banks, all that you have got in the Government Treasury, is $6,000,000,000; and if you took all that money and paid it out today you would still owe $266,000,000,000; and if you took all that money and paid again you would still owe $260,000,000,000; and if you took it, my friends, 20 times and paid it you would still owe $150,000,000,000.
You would have to have 45 times the entire money supply of the United States today to pay the debts of the people of America and then they would just have to start out from scratch, without a dime to go on with.
So, my friends, it is impossible to pay all of these debts, and you might as well find out that it cannot be done. The United States Supreme Court has definitely found out that it could not be done, because, in a Minnesota case, it held that when a State has postponed the evil day of collecting a debt it was a valid and constitutional exercise of legislative power.
Now, ladies and gentlemen, if I may proceed to give you some other words that I think you can understand—I am not going to belabor you by quoting tonight—I am going to tell you what the wise men of all ages and all times, down even to the present day, have all said: That you must keep the wealth of the country scattered, and you must limit the amount that any one man can own. You cannot let any man own §300,000,000,000 or $400,000,000,000. If you do, one man can own all of the wealth that the United States has in it.
Now, my friends, if you were off on an island where there were 100 lunches, you could not let one man eat up the hundred lunches, or take the hundred lunches and not let anybody else eat any of them. If you did, there would not be anything else for the balance of the people to consume.
So, we have in America today, my friends, a condition by which about 10 men dominate the means of activity in at least 85 percent of the activities that you own. They either own directly everything or they have got some kind of mortgage on it, with a very small percentage to be excepted. They own the banks, they own the steel mills, they own the railroads, they own the bonds, they own the mortgages, they own the stores, and they have chained the country from one end to the other until there is not any kind of business that a small, independent man could go into today and make a living, and there is not any kind of business that an independent man can go into and make any money to buy an automobile with; and they have finally and gradually and steadily eliminated everybody from the fields in which there is a living to be made, and still they have got little enough sense to think they ought to be able to get more business out of it anyway.
If you reduce a man to the point where he is starving to death and bleeding and dying, how do you expect that man to get hold of any money to spend with you? It is not possible.
Then, ladies and gentlemen, how do you expect people to live, when the wherewith cannot be had by the people?
In the beginning I quoted from the Scriptures. I hope you will understand that I am not quoting Scripture to you to convince you of my goodness personally, because that is a thing between me and my Maker; that is something as to how I stand with my Maker and as to how you stand with your Maker. That is not concerned with this issue, except and unless there are those of you who would be so good as to pray for the souls of some of UK. Rut the Lord gave His law, and in the Book of James they said so, that the rich should weep and howl for the miseries that had come upon them; and, therefore, it was written that when the rich hold goods they could not use and could not consume, you will inflict punishment on them, and nothing but days of woe ahead of them.
Then we have heard of the great Greek philosopher, Socrates, and the greater Greek philosopher, Plato, and we have read the dialogue between Plato and Socrates, in which one said that great riches brought on great poverty, and would be destructive of a country. Read what they said. Read what Plato said; that you must not let any one man be too poor, and you must not let any one man be too rich; that the same mill that grinds out the extra rich is the mill that will grind out the extra poor, because, in order that the extra rich can become so affluent, they must necessarily take more of what ordinarily would belong to the average man.
It is a very simple process of mathematics that you do not have to study, and that no one is going to discuss with you.
So that was the view of Socrates and Plato. That was the view of the English statesmen. That was the view of American statesmen. That was the view of American statesmen like Daniel Webster, Thomas Jefferson, Abraham Lincoln, William Jennings Bryan, and Theodore Roosevelt, and even as late as Herbert Hoover and Franklin D. Roosevelt.
Both of these men, Mr. Hoover and Mr. Roosevelt, came out and said there had to be a decentralization of wealth, but neither one of them did anything about it. But, nevertheless, they recognized the principle. The fact that neither one of them ever did anything about it is their own problem that I am not undertaking to criticize; but had Mr. Hoover carried out what he says ought to be done, he would be retiring from the President's office, very probably, 8 years from now, instead of 1 year ago; and had Mr. Roosevelt proceeded along the lines that he stated were necessary for the decentralization of wealth, he would have gone, my friends, a long way already, and within a few months he would have probably reached a solution of all of the problems that afflict this country today.
But I wish to warn you now that nothing that has been done up to this date has taken one dime away from these big fortune-holders; they own just as much as they did, and probably a little bit more; they hold just as many of the debts of the common people as they ever held, and probably a little bit more; and unless we, my friends, are going to give the people of this country a fair shake of the dice, by which they will all get something out of the funds of this land, there is not a chance on the topside of this God's eternal earth by which we can rescue this country and rescue the people of this country.
It is necessary to save the government of the country, but is much more necessary to save the people of America. We love this country. We love this Government. It is a religion, I say. It is a kind of religion people have read of when women, in the name of religion, would take their infant babes and throw them into the burning flame, where they would be instantly devoured by the all-consuming fire, in days gone by; and there probably are some people of the world even today, who, in the name of religion, throw their own babes to destruction; but in the name of our good government, people today are seeing their own children hungry, tired, half-naked, lifting their tear-dimmed eyes into the sad faces of their fathers and mothers, who cannot give them food and clothing they both need, and which is necessary to sustain them, and that goes on day after day, and night after night, when day gets into darkness and blackness, knowing those children would arise in the morning without being fed, and probably go to bed at night without being fed.
Yet in the name of our Government, and all alone, those people undertake and strive as hard as they can to keep a good government alive, and how long they can stand that no one knows. If I were in their place tonight, the place where millions are, I hope that I would have what I might say—I cannot give you the word to express the kind of fortitude they have; that is the word—I hope that I might have the fortitude to praise and honor my Government that had allowed me here in this land, where there is too much to eat and too much to wear, to starve in order that a handful of men can have so much more than they can ever eat or they can ever wear.
Now, we have organized a society, and we call it "Share Our Wealth Society," a society with the motto "Every Man a King."
Every man a king, so there would be no such thing as a man or woman who did not have the necessities of life, who would not be dependent upon the whims and caprices and ipsi dixit of the financial barons for a living. What do we propose by this society? We propose to limit the wealth of big men in the country. There is an average of $15,000 in wealth to every family in America. That is right here today.
We do not propose to divide it up equally. We do not propose a division of wealth, but we propose to limit poverty that we will allow to be inflicted upon any man's family. We will not say we are going to try to guarantee any equality, or $15,000 to a family. No; but we do say that one third of the average is low enough for any one family to hold, that there should be a guarantee of a family wealth of around $5,000; enough for a home, an automobile, a radio, and the ordinary conveniences, and the opportunity to educate their children; a fair share of the income of this land thereafter to that family so there will be no such thing as merely the select to have those things, and so there will be no such thing as a family living in poverty and distress.
We have to limit fortunes. Our present plan is that we will allow no one man to own more that $50,000,000. We think that with that limit we will be able to carry out the balance of the program. It may be necessary that we limit it to less than $50,000,000. It may be necessary, in working out of the plans that no man's fortune would be more than $10,000,000 or $15,000,000. But be that as it may, it will still be more than any one man, or any one man and his children and their children, will be able to spend in their lifetimes; and it is not necessary or reasonable to have wealth piled up beyond that point where we cannot prevent poverty among the masses.
Another thing we propose is old-age pension of $30 a month for everyone that is 60 years old. Now, we do not give this pension to a man making $1,000 a year, and we do not give it to him if he has $10,000 in property, but outside of that we do.
We will limit hours of work. There is not any necessity of having overproduction. I think all you have got to do, ladies and gentlemen, is just limit the hours of work to such an extent as people will work only so long as it is necessary to produce enough for all of the people to have what they need. Why, ladies and gentlemen, let us say that all of these labor-saving devices reduce hours down to where you do not have to work but 4 hours a day; that is enough for these people, and then praise be the name of the Lord, if it gets that good. Let it be good and not a curse, and then we will have 5 hours a day and 5 days a week-, or even less than that, and we might give a man a whole month off during a year, or give him 2 months; and we might do what other countries have seen fit to do, and what I did in Louisiana, by having schools by which adults could go back and learn the things that have been discovered since they went to school.
We will not have any trouble taking care of the agricultural situation. All you have to do is balance your production with your consumption. You simply have to abandon a particular crop that you have too much of, and all you have to do is store the surplus for the next year, and the Government will take it over.
When you have good crops in the area in which the crops that have been planted are sufficient for another year, put in your public works in the particular year when you do not need to raise any more, and by that means you get everybody employed. When the Government has enough of any particular crop to take care of all of the people, that will be all that is necessary; and in order to do all of this, our taxation is going to be to take the billion-dollar fortunes and strip them down to frying size, not to exceed $50,000,000, and if it is necessary to come to $10,000,000, we will come to $10,000,000. We have worked the proposition out to guarantee a limit upon property (and no man will own less than one-third the average), and guarantee a reduction of fortunes and a reduction of hours to spread wealth throughout this country. We would care for the old people above 60 and take them away from this thriving industry and give them a chance to enjoy the necessities and live in ease, and thereby lift from the market the labor which would probably create a surplus of commodities.
Those are the things we propose to do. "Every Man a King." Every man to eat when there is something to eat; all to wear something when there is something to wear. That makes us all a sovereign.
You cannot solve these things through these various and sundry alphabetical codes. You can have the N. R. A. and P. W. A. and C. W. A. and the U. U. G. and G. I. N. and any other kind of dad-gummed lettered code. You can wait until doomsday and see 25 more alphabets, but that is not going to solve this proposition. Why hide? Why quibble? You know what the trouble is. The man that says he does not know what the trouble is is just hiding his face to keep from seeing the sunlight.
God told you what the trouble was. The philosophers told you what the trouble was; and when you have a country where one man owns more than 100,000 people, or a million people, and when you have a country where there are four men, as in America, that have got more control over things than all the 120,000,000 people together, you know what the trouble is.
We had these great incomes in this country; but the farmer, who plowed from sunup to sundown, who labored here from sunup to sundown for 6 days a week, wound up at the end of the time with practically nothing.
And we ought to take care of the veterans of the wars in this program. That is a small matter. Suppose it does cost a billion dollars a year—that means that the money will be scattered throughout this country. We ought to pay them a bonus. We can do it. We ought to take care of every single one of the sick and disabled veterans. I do not care whether a man got sick on the battlefield or did not; every man that wore the uniform of this country is entitled to be taken care of, and there is money enough to do it; and we need to spread the wealth of the country, which you did not do in what you call the N. R. A.
If the N. R. A. has done any good, I can put it all in my eye without having it hurt. All I can see that the N. R. A. has done is to put the little man out of business—the little merchant in his store, the little Italian that is running a fruit stand, or the Greek shoe-shining stand, who has to take hold of a code of 275 pages and study it with a spirit level and compass and looking-glass; he has to hire a Philadelphia lawyer to tell him what is in the code; and by the time he learns what the code is, he is in jail or out of business; and they have got a chain code system that has already put him out of business. The N. R. A. is not worth anything, and I said so when they put it through.
Now, my friends, we have got to hit the root with the ax. Centralized power in the hands of a few, with centralized credit in the hands of a few, is the trouble.
Get together in your community tonight or tomorrow and organize one of our Share Our Wealth Societies. If you do not understand it, write me and let me send you the platform; let me give you the proof of it.
This is Huey P. Long talking, United States Senator, Washington, D. C. Write me and let me send you the data on this proposition. Enroll with us. Let us make known to the people what we are going to do. I will send you a button, if I have got enough of them left. We have got a little button that some of our friends designed, with our message around the rim of the button, and in the center "Every Man a King." Many thousands of them are meeting through the United States, and every day we are getting hundreds and hundreds of letters. Share Our Wealth Societies are now being organized, and people have it within their power to relieve themselves from this terrible situation.
Look at what the Mayo brothers announced this week, these greatest scientists of all the world today, who are entitled to have more money than all the Morgans and the Rockefellers, or anyone else, and yet the Mayos turn back their big fortunes to be used for treating the sick, and said they did not want to lay up fortunes in this earth, but wanted to turn them back where they would do some good; but the other big capitalists are not willing to do that, are not willing to do what these men, 10 times more worthy, have already done, and it is going to take a law to require them to do it.
Organize your Share Our Wealth Society and get your people to meet with you, and make known your wishes to your Senators and Representatives in Congress.
Now, my friends, I am going to stop. I thank you for this opportunity to talk to you. I am having to talk under the auspices and by the grace and permission of the National Broadcasting System tonight, and they are letting me talk free. If I had the money, and I wish I had the money, I would like to talk to you more often on this line, but I have not got it, and I cannot expect these people to give it to me free except on some rare instance. But, my friends, I hope to have the opportunity to talk with you, and I am writing to you, and I hope that you will get up and help in the work, because the resolutions and bills are before Congress, and we hope to have your help in getting together and organizing your Share Our Wealth Societies.
Now, that I have but a minute left, I want to say that I suppose my family is listening in on the radio in New Orleans, and I will say to my wife and three children that I am entirely well and hope to be home before many more days, and I hope they have listened to my speech tonight, and I wish them and all of their neighbors and friends everything good that may be had.
I thank you, my friends, for your kind attention, and I hope you will enroll with us, take care of your own work in the work of this Government, and share or help in our Share Our Wealth Societies.
I thank you.

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amily has a history of phenylketonuria (PKU) including her brother after seeing her Brother struggle with PKU Amelia understands that life with PKU would be challenging and it is a challenge she is hoping to avoid for her child, Amelia, and her husband, Decided to meet with a Family planner to help them understand the chances of having a child with PKU and potentially if anything can be done to help reduce the chances of them passing this trait to their offspring
Question
1. What is the likelihood that Amelia is a carrier for PKU?
2. Given what you know about the pedigree Of this family what are the probabilities Of Amelia having children with PKU?
3.what are the chances Amelia having children that are carriers?

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t way to do that would be to investigate her students’ test performance in a number of ways.
The first thing she did was separate her students’ test scores based on the time of day she held her lectures (morning vs evening). Next she recorded the type of test students were writing (multiple choice vs short answer). She selected a random sample of students from her morning (n = 6) and evening (n = 7) classes (total of 13) and recorded scores from two of their tests as shown below.
Morning
Evening
Multiple Choice
Short Answer
Multiple Choice
Short Answer
66
74
70
45
64
55
80
55
72
77
78
55
70
57
84
60
61
58
64
70
67
69
84
60
70
63
DATA Set 1:
Good morning sunshine. Is Time of Day important?
1. Prof. Maya recently read an article that concluded students retained more information when attending classes in the morning. Based on this finding she thought students in her morning class might have performed differently on their Short Answer test scores when compared to students in her evening class. Does the data support her hypothesis? [15 points]
Multiple Guess! Does Exam Type matter?
2. Prof. Maya also knew that students often did better on multiple-choice tests because they only have to recognize the information (rather than recall it). Given this, she thought students attending the morning class might perform differently on the Multiple-Choice test when compared to the Short Answer test. Does the data support her hypothesis? [15 points]
DATA Set 2:
We’ll try anything once. Does the new Tutorial Plan work?
3. Combining all of her students (and ignoring time of day), Prof. Maya asked her TAs to try a new – and very expensive - tutorial study plan. She then chose a random sample of 20 students to receive the new study plan and another sample of 30 to continue using the old study plan. Following an in-class quiz, she divided the students into 3 levels of achievement (below average, average, and above average), and then created the frequency table below. Does the new expensive tutorial study plan improve student performance? [15 points]
Below average
Average
Above Average
New plan
7
7
6
Old plan
6
15
9
DATA Set 3:
How are YOU doing?
4. Finally, Prof. Maya thinks that her 2018 class is doing better than her 2017 class did. She decided to collect a sample of test scores from the students in her course this year (combining all of the groups) and compare the average with her previous year’s class average. Does the data support her hypothesis? [15 points]
The 2017 class average = 63%
The 2018 sample size = 25
The 2018 sample standard deviation = 11
The 2018 sample average = use your actual midterm mark (yes, you the student reading this :)
Bonus: What does it all mean?
5. Bonus: IF Prof. Maya had complete control of how and when she ran her course in 2018, considering all the info you just found in the 3 data sets, write a brief statement of how you would recommend she set-up the course next year – and explain why. [5 points]

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t way to do that would be to investigate her students’ test performance in a number of ways.
The first thing she did was separate her students’ test scores based on the time of day she held her lectures (morning vs evening). Next she recorded the type of test students were writing (multiple choice vs short answer). She selected a random sample of students from her morning (n = 6) and evening (n = 7) classes (total of 13) and recorded scores from two of their tests as shown below.
DATA Set 1:
Good morning sunshine. Is Time of Day important?
1. Prof. Maya recently read an article that concluded students retained more information when attending classes in the morning. Based on this finding she thought students in her morning class might have performed differently on their Short Answer test scores when compared to students in her evening class. Does the data support her hypothesis? [15 points]
Multiple Guess! Does Exam Type matter?
2. Prof. Maya also knew that students often did better on multiple-choice tests because they only have to recognize the information (rather than recall it). Given this, she thought students attending the morning class might perform differently on the Multiple-Choice test when compared to the Short Answer test. Does the data support her hypothesis? [15 points]
DATA Set 2:
We’ll try anything once. Does the new Tutorial Plan work?
3. Combining all of her students (and ignoring time of day), Prof. Maya asked her TAs to try a new – and very expensive - tutorial study plan. She then chose a random sample of 20 students to receive the new study plan and another sample of 30 to continue using the old study plan. Following an in-class quiz, she divided the students into 3 levels of achievement (below average, average, and above average), and then created the frequency table below. Does the new expensive tutorial study plan improve student performance? [15 points]
Below average
Average
Above Average
New plan
7
7
6
Old plan
6
15
9
DATA Set 3:
How are YOU doing?
4. Finally, Prof. Maya thinks that her 2018 class is doing better than her 2017 class did. She decided to collect a sample of test scores from the students in her course this year (combining all of the groups) and compare the average with her previous year’s class average. Does the data support her hypothesis? [15 points]
The 2017 class average = 63%
The 2018 sample size = 25
The 2018 sample standard deviation = 11
The 2018 sample average = use your actual midterm mark (yes, you the student reading this :)
Bonus: What does it all mean?
5. Bonus: IF Prof. Maya had complete control of how and when she ran her course in 2018, considering all the info you just found in the 3 data sets, write a brief statement of how you would recommend she set-up the course next year – and explain why. [5 points]

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32. Value: 1 equation image indicator a. (x - 2)2(x - 3)2 b. (x2+ 4)(x2+ 9) c. (x - 2)(x + ...

2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
Value: 1
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
staplergraph.jpg
a. $19.95
b. $18.95
c. $16.95
d. $19.25
Value: 1
If equation image indicator then x =
a. 7
b. 1/5
c. 5
d. 1/7
Value: 1
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
a. 1/3
b. 0
c. 1/2
d. 1/4
Value: 1
If 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 8
d. 4
Value: 1
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
a. 2
b. 4
c. 16
d. There is no y-intercept.
Value: 1
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
Value: 1
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. 22
b. 28
c. 35
d. 40
Value: 1
(3x-2y4)-3 =
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
a. 28
b. 30
c. 32
d. 34
Value: 1
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
a. 20
b. 50
c. 70
d. 80
Value: 1
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
a. 21
b. 15
c. 19
d. 9
Value: 1
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
a. 54
b. 6
c. 2/3
d. 3/2
Value: 1
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
a. 21
b. 11
c. 0
d. 55

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is a multiple of three or greater than eight.
A certain game consist of rolling a single fair die and pays off as follows nine dollars for a six, six dollars for a five, one dollar for four and no payoffs otherwise.Find the expected winnings for this game.
A fair die is rolled four times. A 6 is considered success While all other outcomes are failures find the probability of three successes.
A pet store has nine puppies including 4 poodles 3 terriers and 2 retrievers. If Rebecca an errand in that order each select one puppy at random without replacement find the probability that Aaron select a retriever given that from last Rebecca selects a poodle.
Experience shows that a ski lodge will be for (166 guests) if there is a heavy snowfall in December, well only partially full (52 guests) With a light snowfall. What is the expected number of guests if the probability for a heavy snowfall is 0.40? I assume that heavy snowfall and light snowfall are the only two possibilities.
A pet store has six puppies Including two poodles two Terriers and to retrievers. If Rebecca and Aaron in that order each select one puppy random with replacement (They both may select the same one) Find the probability That Rebecca selects a terrier and Aaron selects a retriever.
Three married couples arrange themselves randomly in six consecutive seats in a row. Determine (A) the number of ways the following event can occur, And (B) the probability of the event. (The denominator of the probability fraction will be 6!=720, The total number of ways to arrange six items ). Each man was that immediately to the right of his wife.
A coin is tossed five times. Find the probability that all our heads. Find the probability that at least three are heads.
A certain prescription drug is known to produce undesirable facts and 35% of all patients due to drug. Among a random sample of a patient using a drug find the probability of the stated event. Exactly 5 have undesired effects.
10,000 raffle tickets are sold. One first prize of 1600, for second prizes of 800 each, And 9/3 prizes of 300 each or to be awarded with all winners selected randomly. If you purchase one ticket what are your expected winnings.
Suppose a charitable organization decides to Raise money by raffling A trip worth 500. If 3000 tickets are sold at one dollar each find the expected net winnings for a person who buys one ticket. Round to the nearest cent
Three men and seven women are waiting to be interviewed for jobs. If they are selected in random order find the probability that all men will be interviewed first
A fair diet is rolled. What is the probability of rolling on our number or a number less than three.
The pet store has 15 puppies, including five poodles, five Terriers, and five retrievers. If Rebecca and Aaron, in that order, select one puppy at random without replacement, find the probability that both select a poodle
Beth is taking a nine question multiple-choice test for which each question Has three answer choices, only one of which is correct. Beth decides on answering By rolling a fair die And making the first answer choice if the die shows one or two, The second If the die shows three or four, and the third if the die shows five or six. Find the probability of the stated event. Exactly 6 correct answers
For the experiment of drawing a single card from a standard 52 card deck find (a) the probability and (b) the odds are in favor that they do not drive six

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with a mean of 25 gm and a standard deviation of 5 gm.
(a) If the machine is used 500 times, approximately how many times will it be expected to dispense 30 gm or more of chilli sauce?
(b) How can you decrease this number to half? Give a numerical answer.
2. StarTech manufactures re sensors. They use a protective screen for their sensors to protect it from dust. The sensor becomes useless if the thickness of the screen exceeds 0.5 mm. They outsource the production of the screen to a di erent company that claims to manufacture screens with a mean thickness of 0.3 mm and a standard deviation of 0.1 mm.
(a) If 10000 screens are manufactured how many will be discarded because they are too thick?
(b) If screens less than 0.2 mm are too thin to be used, what is the probability that screens manufactured by the above company will be discarded because they are too thick or too thin? Show the result on a graph.
3. The amount of time that Sam spends playing the guitar is normally distributed with a mean of 15 hours and a standard deviation of 3 hours.
(a) Find the probability that he spends between 15 and 18 hours playing the guitar during a given week.
(b) What is the probability that he spends less than 3 hours playing the guitar during a given week?
4. Soon after he took oce in 1963, President Johnson was approved by 160 out of a sample of 200 Americans. With growing disillusionment over his Vietnam policy, by 1968 he was approved by only 70 out of a sample of 200 Americans.
(a) What is the 90% con dence interval for the percentage of all Americans who approved of Johnson in 1963? In 1968?
(b) What is the 90% con dence interval for the change?

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s, you run the following re- gression on a sample of 65 countries for the year 2012:
books = 8.2314 + (1.0329)
+ 0.3149 age (0.4111)
8.1391 (0.5812)
?
income
4.8121 (0.3543)
+
ereaders,
3.4125 educ (0.7314)
where books is the number of paperback novels purchased in 2012, income is per capita GDP in 2012, educ is the average number of years of education for the population in 2012, age is the average age of the population in 2012 and ereaders is the number of electronic readers (e.g. Kindles) sold in 2012. The numbers in parentheses refer to standard errors corresponding to the estimated coefficients. You also find that R2 = 0.7231 and SSR = 1, 231.
(a) Which of the slope coefficients are statistically different from zero at the 5% level of significance? Perform statistical tests to answer this question. [8 marks]
Solution: Each test carries 2 marks. t ratios are: 14.0039, 4.66, 0.7659, -13.5819. The 2.5% critical value for a tn?k=65?5=60 distribution can be seen to be 2.0000, implying that all coefficients except the one on age are significant.
(b) Does the intercept have a plausible interpretation? Explain briefly. [4 marks]
Solution: The intercept indicates that demand for paperback novels equals 8.2314 when income, educ, age and ereaders all equal zero. Clearly this is not plausible.
(c) Construct a 95% confidence interval for the coefficient on age. [8 marks]
Solution: CI is given by [bage

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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