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hour. Let N(t) be the number of custoer arrivals up to time t, with hour as the unit. There are two types of soft drinks, type A and B, stored in the machine. Suppose that each time a customer deposits money, the machine dispenses one soft drink A with probability p1, or one soft drink B with probability p2. We have p1 + p2 = 1, p1 > 0, p2 > 0. Let X(t) be the number of type A soft drinks dispensed up to time t; and Y (t) be the number of type B soft drinks dispensed up to time t.

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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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4.Suppose that 5% of the time Danny attends a concert twice a week, 45% of the time he attends a ...

rt once a week, and 50% of the time he doesn't attend a concert at all in a given week. What is the expected value for the number of times Danny attends a concert during a week?

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5.Suppose that you and a friend are playing cards and decide to make a bet. If you draw two non-face ...

ards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards without replacing the first card, you win $10. Otherwise, you pay your friend $20. If the same bet was made 15 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary.

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lives. Suppose you are in class of 52 students.
A) what is the probability that over 13 students experience stress
B) if 23 students in the class said they felt stress in their daily lives would you be surprised
Suppose the average ACT score for students taking the test in Illinois is in 2003 was 21.8 with a standard deviation of 3.85. What is the probability that 32 randomly selected students from that state average under 23 on the ACT that year?

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2,3,4,7). If it lands tails, a fair six-sided die is
thrown (with values 3,4,5,6,7,9). Regardless of which die is used, Alice
eats n grains of rice, where n is the largest prime factor of the die result
(for example, the largest prime factor of 9 is 3).
(a) What is the conditional probability that the coin lands heads, given
that Alice eats three grains of rice?
(b) Suppose that the entire experiment is conducted twice on the following day (starting with a new coin toss on the second run-through).
What is the conditional probability that the coin lands heads on both
run-throughs, given that Alice eats a total of five grains of rice during the two run-throughs?
(Do not count the two grains from part (a) in part (b); we assume
two brand new experiments, each with a new coin toss. Start your
solution by defining a suitable partition of the sample space. Please
use an appropriate notation and/or justification in words, for each
value that you give as part of your solution.)
Exercise 5) Alice and Bob throw an unfair coin repeatedly, with probability 2/5 of landing heads. Alice starts with £2 and Bob starts with £3 .
Each time the unfair coin lands heads, Alice gives Bob £1 . Each time
the unfair coin lands tails, Bob gives Alice £1 . The game ends when one
player has £5 .
(a) Draw a labelled Markov chain describing the problem, and write
down a transition matrix P. Write down the communication classes,
and classify them as either recurrent or transient.
(b) Using the transition matrix, calculate the probability that Alice loses
all of her money in exactly four tosses of the unfair coin.
(c) Calculate the (total) probability that Alice loses all of her money
(before Bob loses all of his).
(d) Calculate the expected (mean) number of tosses of the unfair coin,
for the game to end.

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laims that the percentage of blue candies is equal to 24%. Use a 0.01 significance level to test that claim.

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two objects and recorded whether or not the dog being tested correctly chose the object indicated. A four-year-old male beagle named Augie participated in this study. He chose the correct object 42 out of 70 times when the experimenter leaned towards the correct object.
(a) (2 points) Let the parameter of interest, π, represent the probability that the long-run probability that Augie chooses correctly. Researches are interested to see if Augie understands human body cues (better than gussing).
Fill in the blanks for the null and alternative hypotheses.
H0 : Ha :
(b) (6 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 10%? (If you use an applet, please specify which applet you use, and the inputs.)
(c) (5 points) Based on the above context, conduct a test of significance to determine the p-value to investigate if domestic dogs understand human body cues. What conclusion will you draw with significance level of 5%? (If you use an applet, please specify which applet you use, and the inputs.)
(d) (2 points) Are your conclusions from part (b) and (c) the same? If they are different, please provide an explanation.
(e) (5 points) Shown below is a dotplot from a simulation of 100 sample proportions under the assump- tion that the long-run probability that Augie chooses correct is 0.50. Based on this dotplot, would a 90% confidence interval for π contain the value 0.5? Explain your answer.
(f) (4 points) Compute the standard error of the sample proportion of times that Augie chose the object correctly.
1
(g) (5 points)
(h) (3 points) question?
(i) (4 points)
(j) (4 points) A.
B. C.
Construct an approximate 95% confidence interval for π using the 2SD method. What is the margin of error of the confidence interval that you found in the previous
How would you interpret the confidence interval that you found in part (g)?
Which of the following is a correct interpretation of the 95% confidence level?
If Augie repeats this process many times, then about 95% of the intervals produced will capture the true proportion of times of choosing the correct objective.
About 95% times Augie chooses the correct objective.
If Augie repeats this process and constructs 20 intervals from separate independent sam- ples, we can expect about 19 of those intervals to contain the true proportion Augie chooses the correct objective.
(k) (4 points)
object 21 out of 35 times.
Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval.
The center of the confidence interval would . The width of the confidence interval would .
(l) (4 points) Suppose that we repeated the same study with Augie, and this time he chose the correct object 17 out of 35 times, and we also change the confidence level from 95% to 99%. Conjecture how, if at all, the center and the width of a 99% confidence interval would change with these data, compared to the original 2SD 95% confidence interval.
Suppose that we repeated the same study with Augie, and this time he chose the correct
The center of the confidence interval would The width of the confidence interval would
.
.

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acids from the primary sequence. How might this affect each of the three higher levels of protein structure, thus causing this condition?
2) Imagine that you are building an artificial eukaryotic cell starting with an artificial bacterial cell. What organelles would you need to add?
3)How can an enzyme recognize and bind one specific substrate in a cell containing thousands of different molecules? How will extremes of temperature and pH affect this specificity?

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units.
Chemical Equation: Write a generic chemical equation for the dehydration of cobalt (II) chloride ∙ x hydrate (include the state symbols of the reactant and two products). [T2]
Mass of Reactants and Products:
a) Calculate the initial mass of the hydrated cobalt (II) chloride. [T1]
b) Calculate the final mass of the anhydrous cobalt (II) chloride remaining in the cruiio8icible. [T1]
c) Calculate the mass of water given off by the sample of hydrated cobalt (II) chloride. [T1]
Moles of Products:
a) Calculate the moles of anhydrous cobalt (II) chloride remaining in the crucible. [T1]
b) Calculate the moles of water released from the hydrate. {T1]
4. Mole Ratio
a) Create an experimental mole ratio between the b) and a). [T1]
5. Formula of Hydrate: State the chemical formula you have determined for this hydrate.
Round the formula to the closest whole number value for x. [T1]
Discussion/Conclusion Questions: [T6]
Based on the chemical formula of the hydrate, calculate the percentage composition (percent by mass) of the hydrated cobalt (II) chloride. Remember to determine the percentage of each element (Co, Cl, H, and O). [T2]
A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same).
Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2]

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nd standard deviation 6 inches.
A button hyperlink to the SALT program that reads: Use SALT.
(a) What is the probability that an 18-year-old man selected at random is between 64 and 66 inches tall? (Round your answer to four decimal places.)
Correct: Your answer is correct.
(b) If a random sample of seven 18-year-old men is selected, what is the probability that the mean height x is between 64 and 66 inches? (Round your answer to four decimal places.)
Incorrect: Your answer is incorrect.
(c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?
The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
The probability in part (b) is much higher because the standard deviation is larger for the x distribution.
The probability in part (b) is much higher because the mean is smaller for the x distribution.
The probability in part (b) is much higher because the mean is larger for the x distribution.
The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.

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of CoCl2 . H2O. The hydrate became anhydrous through this.
Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2]
A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same).

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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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15.Suppose that f: A--> B is a function and that X and Y are two subsets of B such that ...

in Y. prove that f-1(X) is a subset of f-1(Y)

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k of mass 100 m that is resting on a table with negligible friction. The top of the table is a distance h above the floor. After the collision, the projectile and the block fly off the table and land a distance x from the base of the table. Express all answers in terms of m, h, Vo, and appropriate constants:
a. The velocity of the projectile and block as they leave the table.
b. The distance x
Suppose that the projectile passes through the block instead of being trapped in it.
c. Will the time required for the block to reach the floor from the edge of the table now be greater than, less than, or the same as before? Justify your answer.
d. Will the distance x for the block be greater than, less than, or the same as before? Justify your answer.

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taneous rate of change of demand with respect to price at p = $350 is 2.5. Will a small inscrease in price result in a decrease or increase in revenue? Explain carefully

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years, it grows to the amount A given by the function A=$50,00(1.07)^t. Find the amount of time after which there will be $400,000 in the account.

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d deviation of 18. What is the minimum score needed to be in the top 10% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place.

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chases frozen turkeys at a constant wholesale price of $1/turkey, which is its full marginal cost for supplying turkeys. During July, only a small number of wealthy people are interested in buying turkeys in Pilgrim. Their demand curve is P = 10 – .02 Q, where P is Wegboys’ retail price for turkeys during the month and Q is the quantity of turkeys purchased. The demand curve for these wealthy people is constant – it is the same curve in both November and July. During November, a large number of less wealthy people enter the market to purchase turkeys for Thanksgiving. Their demand curve for Wegboys’ turkeys is
P = 4 – .0005Q. In other months of the year, they do not purchase turkeys at any price.
a. (5 points) What price should Wegboys charge in July to maximize its profits? Calculate its profits from turkey sales.
b. (5 points) Demonstrate that Wegboys can earn a higher profit if it lowers its retail price for turkeys during November (you can do this without finding the optimal price). Explain the basic economic intuition.

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34.0 N when it’s not in the water. When it’s submerged in water (the density of water is
1.00 x 103 kg/m3) the scale now reads 27.0 N. (a) What is the density of the block? (b) If you
suspended another object from the block that has a density of 3.20 x 103 kg/m3, with both objects
submerged, what would the object's mass need to be for the scale to once again read 34.0 N?
Note: Part (a) is worth 7 points, and part (b) is worth 8 points.

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22.The regression specified for private investment is I = α1 + α2 Y + α3 CRD + u . The ...

estimating the regression are presented below. The sample covers the annual series spanning from 1981-2018.
Î1 = 2.4 + 0.75 Y1 + 0.45 CRD1
(1.02) (0.26) (0.12)
R2 = 0.78 D-W-d= 1.15 where I, Y and represent real private investment, real GDP and real credits respectively.
a) Suppose you would like to perform the test for the first order autocorrelation using the LM type test technique. Define the auxiliary regression to this end. Also suppose you found R-squared from the auxiliary regression to be 0.62, perform the LM test for the first order autocorrelation
b)Suppose you confirmed that there is a first order autocorrelation problem in the error term, show how you use the GLS (Cochrane-Orchutt two step method) method to overcome the problem

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rued when you go from making 1 chai tea latte a day to 40 chai tea lattes a day. (Hint: relationship between marginal cost and total cost)
2. Suppose that C(x) = -0.01x + 5 represents the daily cost of heating the doughnut shop, in dollars per day, where x is time in days and x = 0 corresponds to January 1, 2020. Find the total cost of heating the shop for the first two weeks of January, and find the average cost to heat the shop each day for the first two weeks of January.

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a single vehicle. Suppose 11 accidents are randomly selected. (Round your answers to five decimal places.)
What is the probability that exactly nine involve multiple vehicles?

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t one type of ball has a radius of
2.4
cm
. The length and width of the box's square base are both twice the radius, and the balls are packaged four to a box, so that the height is eight times the radius. Find the percentage of the box that is filled. Round your percentage to the nearest hundredth. Also round all intermediate calculations to four decimal places.
The percentage of the box that is filled, to the nearest hundredth, is
%

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ou divide each element into 4 sub elements giving 16 sub elements, 4 to each quarter making 1,572,864 combinations
Taking it a step further you place 10 planets in each quarter, with the planets themselves consisting of four elements giving a total of forty divisions per quarter or a grand total of 160.
How do you get 61,440,000 different fourfold possibilities?

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bers are matched is 2 million dollars. The tickets are $2 each.
1) How many different ticket possibilities are there?
2) If a person purchases one ticket, what is the probability of winning? What is the probability of losing?
3) Occasionally, you will hear of a group of people going in together to purchase a large amount of tickets. Suppose a group of 30 purchases 6,000 tickets.
a) How much would each person have to contribute?
b) What is the probability of the group winning? Losing?
4) How much would it cost to “buy the lottery”, that is, buy a ticket to cover every possibility? Is it worth it?

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Andrew, Beryl and Charlie. Beryl is the most proliﬁc writer, writing 55% of the jokes, with Andrew and Charlie writing 30% and 15% respectively. 98% of Andrew’s jokes are puns and 95% of Beryl’s jokes are puns, whilst only 90% of Charlie’s jokes are puns. Suppose you pull a cracker and ﬁnd that the joke inside is not a pun. (i) What is the probability that Andrew wrote the joke? (ii) What is the probability that Beryl wrote the joke? (iii) What is the probability that Charlie wrote the joke?

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ere 45 Republicans and 55 Democrats*. Use this information to answer the following.
*Technically, 2 of these Senators were Independents or Independent Democrats, but caucused with the Democratic Party.
Remember the rounding convention for a decimal value with more than 3 zeroes is to round to the second non-zero digit.
If we choose a committee of 10 at random, what is the probability that they will all be Republicans?

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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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imum that we can normally produce). Now suppose that the Federal Government decides to decrease taxes. If we compare the long run price and GDP levels to the price and GDP levels that existed before the Federal Government’s action, we would find that_______?
A.
Production or the GDP would not increase in the long run.
B.
Prices would decrease in the long run.
C.
A decrease in unemployment would result in the long run.
D.
Producers would increase production in the long run as a result of the Federal Government’s actions

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32. Assume that the consumption function for a private open economy, Azania, is such that C = 50 + 0.8Y. ...

. Also assume further that planned investment Ig and net exports Xn as well as G are respectively 30, 10, and 100 million respectively, calculate (a) the equilibrium income and (b) total consumption for this economy. Suppose the economy achieved Xn = 0, how much have (c) income and (d) consumption changed? Recall the real output Y in the economy equals C + Ig + G + Xn. Show all work.

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and unofficial information about the reality of life under
the totalitarian governments of Italy, Nazi Germany, Spain, and the Soviet Union
during the period between World War I and World War II.
Write an article for a news magazine aimed at American citizens who are
unfamiliar with the details of life in Europe. Use your Reading Notes, the
information you gathered on Student Handout I, and the “secret” information
you learned from your classmates.
Follow these guidelines:
a. Give your article a title that will grab your audience’s attention.
b. Structure your article this way:
Introduction: Provide a brief introduction to your experience attending the
“International Fascist Art Exhibition.”
Body Paragraph 1: Explain what totalitarian governments in Europe want
their citizens and foreigners to believe about their leaders and policies.
Body Paragraph 2: Describe what life is really like under these totalitarian
governments.
Body Paragraph 3: Explain what you think accounted for the rise of
totalitarian states after World War I, including how the leaders of these
states gained and kept their power.
Conclusion: Evaluate the rise of totalitarian states and predict the impact
you think their existence will have on world affairs.
c. Create a drawing or cartoon that illustrates one of the main ideas of your
article.
d. Include references to and examples from all four countries studied in this
lesson: Italy, Nazi Germany, Spain, and the Soviet Union.
e. Make your article about two pages in length. Type or write your final draft
neatly in ink.

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ppose a package of M&M’s typically contains 52
M&M’s.
a.) State the random variable.
b.) Argue that this is a binomial experiment
Find the probability that
c.) Six M&M’s are brown.
d.) Twenty-five M&M’s are brown.
e.) All of the M&M’s are brown.
f.) Would it be unusual for a package to have only brown M&M’s? If this were
to happen, what would you think is the reason?

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he efficacy of this spending is therefore relatively important. When it comes to contagious diseases, there are generally two strategies that can be adopted. The first involves prevention, which includes vaccinations to lower or eliminate the risk of contracting a disease. The second involves treatment of those unfortunate enough to get sick, treatment typically requires some form of a drug. Since pharmaceutical companies can produce both vaccines and drugs, we would like to understand the incentives they have to develop each type of medicine. To explore this question, consider a population of 100 consumers, 90 of whom have a low disease risk, say 10%. The remaining ten have a high risk – to make things simple, assume they are certain to contract the disease. In addition, suppose the disease generates personal harm equal to the loss of $100 for each individual when they are infected. Suppose also that pharmaceuticals of either form (vaccines or drugs) are costless to produce (once R & D has occurred) and are perfectly effective
Question 2. What price would a profit maximising monopolist charge for a vaccine? What are the monopoly profits on the vaccine? What is the efficient outcome (i.e. SMB = SMC)? What is the welfare under the monopoly and at the efficient allocation?
Question 3.Now consider the demand for the drug (assume that the vaccine is not available). Construct the demand function for the drug and plot it on a diagram. What price would a profit maximising monopolist charge for the drug? What are the monopoly profits from the drug? What is the efficient outcome? What is the welfare under the monopoly and at the efficient allocation?
Question 4. If the R&D costs of the vaccine and drug are the same, what will the pharmaceutical company do? Explain your answer in terms of the variation in the willingness to pay and the size of the R& D costs. What would a social planner do?
Question 5. What are the R&D cost for the vaccine and the R&D cost for the vaccine drug that would make a pharmaceutical company indifferent between developing the vaccine and the drug? Is the social planner indifferent in this case? Explain any difference.

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36.Hi, I have one question on my math homework that I can't seem to figure out. Please help me! Here ...

is Imagine that in the voting for a certain award, 7 points are awarded for first place, 4 points for second, 3 points for third, 2 points for fourth, and 1 point for fifth. Suppose there were five candidates (A, B, C, D, and E) and 47 voters. When the points were tallied, A had 155 points, B had 173 points, C had 170 points, and D had 154 points. Find how many points E had and give the ranking of the candidates. (Hint: Each of the 47 ballots hands out a fixed number of points. Figure out how many, and take it from there.)

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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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38.Question 1: suppose the dealer has an an Ace showing, you have a 3 and an 8 in your hand, ...

r player at the table is showing a 5 and 6. Compute the expected value of a one-dollar insurance bet under these circumstances
Question 2: Suppose that( perhaps after being hit one or more times) you have cards addings up to 18. Using the table provided in these notes, compute the probability that you will lose, and the probability that you will tie.
Question 3: The "Royal Hand" consists of King and Queens of the same suit. Compute the probability of being dealt a Royal Hand in the first two cards.
Question 4: Compute the probability that you will initially be dealt two cards adding up to exactly 20. ( First think about how many ways two cards can up to 20 in blackjack.)
Question 5: You have two 9s in your hand. The dealer is showing a 7, and the only other player at the table is sowing a King and a 9. If you ask to be hit, what is the probability that you will bust on the next card?

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

mathematicsalgebra Physics