Using a sample of sat scores n with an average score of and a standard deviation of

infants using their formula brand vs. a competitors. A sample of 40 babies using their product revealed a mean weight gain of 7.6 lbs in the first 3 months after birth. The standard deviation of the Gibbs sample is 2.3 lbs. A sample of 55 babies using the competitors brand had a mean increase of 8.1 lbs with a standard deviation of 2.9 lbs. At the 5% significance level, can we conclude that babies using Gibbs brand gained less weight?

nts pay fees in addition to their tuition. Using the code provided below as a starting point, write a conditional statement that determines how much a student will pay in fees. • Students registered for 1 – 4 hours pay $843 in student fees. • Students enrolled in 5 or more hours pay $993 in student fees. The program should also display a message to students who have not enrolled in any classes: “You are not enrolled in any classes right now.” NOTE: You must use the variables included in the code snippet get credit for this question. import java.util.Scanner; class Main { public static void main(String[] args) { int creditHours; int fees = 0; Scanner myScanner = new Scanner(System.in); System.out.print("Please enter the number of credit hours you are taking this term: "); creditHours = myScanner.nextInt(); myScanner.close(); //YOUR CODE GOES HERE } } Break the Problem Down Answer the following questions, then use the information to write your code. What are the inputs in the pseudocode above? (INPUT) What are we storing in the pseudocode above? (MEMORY) What calculations are needed? (PROCESSES) What needs to be displayed to the user? (OUTPUT) How many conditions are there in your problem statement? What are they? Does something need to happen if the condition(s) are not met? What type of conditional statement do you need? Solution in Java Problem 2: Block Tuition The cost of KSU’s tuition is determined by the number of credit hours a student enrolls in. Using the chart below, write a conditional statement (ONLY) that sets the value of a tuition variable to what that student will owe. NOTE: For this problem you can assume that all students are enrolled in a minimum of 12 hours. Number of Credit Hours 12 13 14 15 or more Cost (in USD) $2224 $2410 $2595 $2718 Break the Problem Down Answer the following questions, then use the information to write your code. What do we need to store? (MEMORY) What are the inputs in the problem statement above? (INPUT) What calculations are needed? (PROCESSES) What needs to be displayed to the user? (OUTPUT) How many conditions are there in your problem statement? What are they? Does something need to happen if the condition(s) are not met? What type of conditional statement do you need? Solution in Java Problem 3: Class Standing Undergraduate students will be classified based on the number of earned institutional hours. • Freshman: • Sophomore: • Junior: • Senior: 0 - 29 hours 30 - 59 hours 60 - 89 hours 90 hours or more Write a complete program that prompts the user for the number of credit hours they have completed. Write a conditional statement that prints out their class standing based on the information they provided. Sample Output Break the Problem Down Answer the following questions, then use the information to write your code. What do we need to store? (MEMORY) Please enter the number of credit hours you have earned: 29 You are a freshman. What are the inputs in the problem statement above? (INPUT) What calculations are needed? (PROCESSES) What needs to be displayed to the user? (OUTPUT) How many conditions are there in your problem statement? What are they? Does something need to happen if the condition(s) are not met? What type of conditional statement do you need? Solution in Java Problem 4: Maximum Course Load KSU’s policy on maximum course loads during the academic year is as follows: A student in good standing may register for up to 18 hours. The Registrar may approve up to 21 hours for students with an institutional GPA of 3.5 or higher. Students Write a complete program that prompts the user for the number of credit hours they have signed up for. Write the necessary conditional statement(s) to address the stipulations in KSU’s policy. Once the maximum number of hours is determined, display a message to the user that states “You may enroll in X credit hours this semester.” where X is the number of credit hours determined by your program. Sample Output Break the Problem Down Answer the following questions, then use the information to write your code. What do we need to store? (MEMORY) Please enter your GPA: 3.75 You may enroll in up to 21 credit hours this semester. What are the inputs in the problem statement above? (INPUT) What calculations are needed? (PROCESSES) What needs to be displayed to the user? (OUTPUT) How many conditions are there in your problem statement? What are they? Does something need to happen if the condition(s) are not met? What type of conditional statement do you need? Solution in Java Problem 5: First-Year Seminar All first-year full-time students entering Kennesaw State University with fewer than 15 semester hours are required to complete a First-Year Seminar. Students with 30 or more credit hours are not eligible to enroll in a First-Year Seminar. Write a complete program that prompts the user for the number of credit hours they have completed. Write the necessary conditional statement(s) to address the stipulations in KSU’s policy. When you run your program, it should display one of the following messages to the screen: • You must enroll in First-Year Seminar. • You do not have to take First-Year Seminar. • You are not eligible for First-Year Seminar. Sample Output Break the Problem Down Answer the following questions, then use the information to write your code. What do we need to store? (MEMORY) Enter the number of credit hours have you completed: 30 You are not eligible for First-Year Seminar. What are the inputs in the problem statement above? (INPUT) What calculations are needed? (PROCESSES) What needs to be displayed to the user? (OUTPUT) How many conditions are there in your problem statement? What are they? Does something need to happen if the condition(s) are not met? What type of conditional statement do you need? Solution in Java

, determine the probability that a randomly selected score will be between a 450 and 700.

titrated with a 0.200 M solution of the base, LiOH. Write the balanced chemical reaction for neutralization reaction: HClO4 (aq) + LiOH (aq) → LiClO4 (aq) + H2O (l) Write the NET ionic equation for the neutralization reaction. OH⁻ (aq) + H⁺ (aq) → H2O (l) Compute the pH of the titration solution. Show your work i) before any of the base is added ii) after 25. mL of base is added iii) after 50. mL of base is added A student performs the titration with the same chemicals but with smaller volumes of each chemical . Which of the following titration curves could represent the titration. Explain A because this entails a strong acid and a strong base. Question 2 A student performs a titration of an unknown acid with a strong base and gets the following titration curve: a) The student consults the list of pKa of acids shown below. If the acid is listed in the table below, which is the most likely identity of the unknown acid? Explain. Acid Ka HF 7.2 x 10-4 CH3COOH 1.8 x 10-5 H2CO3 4.3 x 10-7 HBrO 2.0 x 10-9 The unknown acid is HBrO because the calculated Ka is in between 50^-4 and 50^-6 and 2.0 x 10^-9 lies in between them. b) What is the initial molarity of the acid? 10^-3 = 0.001M Question 3 a) Describe the components and the composition of an effective buffer solution. Explain how the components of the buffer allow the buffer to maintain its pH. An effective buffer solution has a weak acid and its conjugate base or a weak base and its conjugate acid. A buffer solution is most effective when the ratio of its component concentrations is close to 1, also when the pH is equal to the pka of the acid.; The components of the buffer allow the buffer to maintain its pH because buffers can absorb excess H+ions or OH– ions. An employer is interviewing four applicants for a job as a laboratory technician and asks each how to prepare a buffer solution with a pH of 5.0. The following constants may be helpful: hydrazoic acid, pKa = 4.74 Boric acid, pKa = 9.23 Archita A. says she would mix equal molar solutions of hydrazoic (HN3) and sodium azide (NaN3) solutions. Bradley B. says she would mix equimolar Boric acid (H3BO3) and HCl solutions. Carlos C. says he would mix equimolar Boric Acid (H3BO3) and sodium dihydrogen borate (NaH2BO3) solutions. Delia D. says he would mix equimolar hydrazoic Acid (HN3) and NaOH solutions. b) Which of these applicants has given an appropriate procedure? Explain your answer Delia because she is using Sodium hydroxide which results in a pH of 5. NaOH is a strong base and in order to have an effective buffer a weak acid must be incorporated which is the HN3. c) Explain what is wrong with the erroneous procedures. The rest all incorporate a strong acid and a strong base or a weak acid and a weak base which don’ result in an effective buffer. d) The applicants have access to the 1 Liter volumes of each of the solutions listed above. They have access to graduated cylinders. In order to make 1.0 Liter of the correct 5.0 buffer solution, what volumes of the two chemicals must be mixed?

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.

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 . .

utor to walk step by step in the solution of my exercises for me to learn and understand. I had Chetana Das before, and I would like to continue with her as soon as it is possible. The questions are attached, and it needs to be solved using SPSS. I can attach a sample exercise.Actually I attached the sample.

has a mass of 4.10 kg. Using the information provided, what is the density of glycerol ? g/mL (2 decimal places, i.e. number.XX

Since he became the president, did President Trump act with the transparency and the integrity that you expect from a president?” 675 voters responded the poll and 351 responded “YES.” Assume that 40% of the U.S. population supports Trump. a. Define a binary random variable, Y, for supporting Trump (Y=1) vs. not (Y=0). Calculate the population mean (????????) and variance (???????? 2 ) for supporting Trump. b. Calculate the sample mean ????̅ and the sample standard deviation of ????̅ (????????̅ ) for the poll. c. Calculate the standard error of ????̅ and construct a 95% confidence interval from the poll using ????̅ and its sample standard error. d. Conduct a two-sided hypothesis test at 5% significance level to determine whether 40% of the U.S. population supports Trump. State the null and the alternative hypotheses, calculate the test statistics and the associated p-value, and conclude. Is the Fox News survey reliable? Why? Why Not? e. Suppose that you wanted to design a survey that had a margin of error of at most 1%. That is: the difference between the upper bound and the lower bound of the confidence interval should be a maximum of 2 percentage points. For example, for ????̅ = 0.52 you are aiming for the 95 % CI to be [0.51 0.53]. How large should n be if the survey uses simple random sampling?

on a subsample of weekly data from Randall’s Supermarket, one of the biggest in the UK. Randall’s marketing management team wishes to identify trends and patterns in a sample of weekly data collected for a number of their loyalty cardholders during a 26-week period. The data includes information on the customers’ gender, age, shopping frequency per week and shopping basket price. Randall’s operates two different types of stores (convenient stores and superstores) but they also sell to customers via an online shopping platform. The collected data are from all three different types of stores. Finally, the data provides information on the consistency of the customer’s shopping basket regarding the type of products purchased. These can vary from value products, to brand as well as the supermarket’s own high-quality product series Randall’s Top. As a business analyst you are required to analyse those data, make any necessary modifications in order to determine whether for any single customer it is possible to predict the value of their shopping basket. Randall’s marketing management team is only interested in identifying whether the spending of the potential customer will fall in one of three possible groups including: • Low spender (shopping basket value of £25 or less) • Medium Spender (shopping basket value between £25.01 and £70) and • High spenders (shopping basket greater than £70) For the purpose of your analysis you are provided with the data set Randall’s.xls. You have to decide, which method is appropriate to apply for the problem under consideration and undertake the necessary analysis. Once you have completed this analysis, write a report for the Randall’s marketing management team summarising your findings but also describing all necessary steps undertaken in the analysis. The manager is a competent business analyst himself/herself so the report can include technical terms, although you should not exceed five pages. Screenshots and supporting materials can be included in the appendix. Requirements After completing your analysis, you should submit a report that consists of two parts. Part A being a non-technical summary of your findings and Part B a detailed report of the analysis undertaken with more details. Part A: A short report for the Head of Randall’s Marketing Management (20 per cent). This should briefly explain the aim of the project, a clear summary and justification of the methods considered as well as an overview of the results. Although, the Head of Randall’s Marketing Management team who will receive this summary is a competent business analytics practitioner, the majority of the other team members have little knowledge of statistical modelling and want to know nothing about the technical and statistical underpinning of the techniques used in this analysis. This report should be no more than two sides of A4 including graphs, tables, etc. In this report you should include all the objectives of this analysis, summary of data and results as well as your recommendations (if any). Part B: A technical report on the various stages of the analysis (80 per cent). The analysis should be carried out using the range of analytics tools discussed: • SPSS Statistics Ensure that the exercise references: • Binary and multinomial logistic regression • Linear vs Logistic regression • Logit Model with odds Ratio • Co-efficients and Chi Squared • MLR co-efficients • Assessing usefulness of MLR model • Interpreting a model • Assessing over-all model fit with Psuedo R-Squared measures • Classification accuracy (Hit Ratio) • Wald Statistic • Odd ratio exp(B) • Ratio of the probability of an event happening vs not happening • Ratio of the odds after a unit change in the predictor to the original odds • Assumptions • Residuals analysis • Cook’s distance • DfBeta • Adequacy (with variance inflation factor VIF and tolerance statistic) • Outliers and influential points cannot just be removed. We need to check them (typo? – unusual data?) • Check for multicollinearity • Parsimony Write a short and concise report to explain the technical detail of what you have done for each step of the analysis. The report should also cover the following information: • Any type of analysis that might be useful and check whether the main assumptions behind the analyses do not hold or cannot be • Give evidence of the understanding of the statistical tools that you are using. For example, comment on the model selection procedure and the coefficient interpretation, e.g. comment on the interpretation of the logistic regression coefficients if such a method is used and provide an example of • Conclusions and explanation, in non-technical terms, of the main points

r a nicotine patch or e-cigarettes (fake cigarettes producing nicotine in water vapor form). After six months, 7.3 percent of those using e-cigarettes had stopped smoking, compared with 5.8 percent of those wearing the patch. To see if quitting result is significantly associated with the method used, which statistical inference procedure should we use?

he National Center for Health Statistics reports that the mean systolic blood pressure for males 35 to 44 years of age is 128 and the standard deviation in this population is 15. The medical director of a company looks at the medical records of 72 company executives in this age group and finds that the mean systolic blood pressure in this sample is X = 126.07. Is this evidence that executive blood pressures differ from the national average? Conduct a hypothesis test to answer this question using α = 0.05.

e for the proportion of adults in the community who snore. is that using npq?

inions about an upcoming building​ project, the college president wishes to obtain a simple random sample of 8 students. He numbers the students from 1 to 7663 . Complete parts​ (a) and​ (b) below. LOADING... Click the icon to view the random number table. ​(a) Using the provided random number​ table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row​ 2, column 4. Using this position as the starting point and proceeding​ downward, determine the numbers for the 8 students who will be included in the sample.

ing several continuous variables. The groups are in the same sample and the subjects can overlap. Some of the continuous/scale variables are moderated/lower correlated or not correlated with each other. Questions 1- Should I use ANOVA or MANOVA or some other method? 2- Is it okay to create a composed variable with all the combinations of the 3 groups using syntax? I excluded two of the combinations because they have only 1 or 0 subjects. I’m sending one example output in SPSS with one-way ANOVA and MANOVA.

ulation standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ = 43 H1: μ ≠ 43 find the p value (round z value to 2 decimals and final answer 4 decimal place)

rd deviation of $17,093. We are interested in the true average college tuition in the U.S. a. What parameter are we estimating? b. What is the point estimate of that parameter? c. Build the margin of error for 95% confidence interval for the true average college tuition in the U.S. (Show work for credit) d. Using your answer in part c, build a 95% confidence interval for the true average college tuition in the U.S. e. Interpret your interval in part d. .

i need to do. Please help

oups were used (lawyer, physical therapist, cabinetmakers, and system analysts). The results obtained for a sample of 5 individuals from each groups. Using the "ANOVA Output" below, please answer the following questions ( Use the significance level 5%). Q1. The value of the test statistic is ____________ QUESTION 2 Q2. The p- value of the test is _________________ QUESTION 3 Q3. At the 5% significance level, the null hypothesis is rejected if the value of the F statistics is >= _________________ QUESTION 4 Q4. Interpret the ANOVA result at the 5% significance level. Is there any difference in the job satisfaction among the four occupational groups? Answer either yes or no. Explain the reason of your answer statistically. QUESTION 5 Data from a Trucking Company is Southern California were utilized to examine the relationship among total daily travel time (y), miles to traveled (X1), and the number of deliveries (x2). Based on the "Regression Output" below, please answer the following questions. Q5. The number of sample used in this regression analysis is______________ QUESTION 6 Q6. What is the value of the coefficient of determination? QUESTION 7 Q7. What is the F test statistic value for the regression model significane test? QUESTION 8 Q8. What is the predicted travel time for X1 =95, and X2= 6? QUESTION 9 Q9. Is X2 (number of deliveries) related to Y (travel time)? Answer either yes or no. Explain the reason of your answer statistically. ATTACHED ARE GRAPHS

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]

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]

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