Homework 9 Chapter 4.2

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Homework 9 Chapter 4.2 Mean, Variance, and Standard Deviation In Exercises 11-14, find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. | 11. n =50,p = 04 12. n = 84,p = 0.65 $13. n = 124,p = 0.26 14. n = 316,p = 0.82 Finding Binomial Probabilities In Exercises 19-26, find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B. 19. 21. Newspapers Thirty-four percent of U.S. adults have very little confidence in newspapers. You randomly select eight U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly six, (b) at least four, and (c) less than five. (Source: Gallup) Drone Use in Police Work Thirty-six percent of U.S. adults favor the use of unmanned drones by police agencies. You randomly select nine U.S. adults. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies i1s (a) exactly four, (b) at least two, and (c) less than six. (Source: Rasmussen Reports) Flu Shots Fifty-six percent of U.S. adults say they intend to get a flu shot. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who intend to get a flu shot is (a) exactly four, (b) at least five, and (c) less than seven. (Source: Rasmussen Reports) Fast Food Eleven percent of U.S. adults eat fast food four to six times per week. You randomly select 12 U.S. adults. Find the probability that the number of U.S. adults who eat fast food four to six times per week is (a) exactly five, (b) at least two, and (c) less than three. (Sowrce: Statista)

Constructing and Graphing Binomial Distributions In Exercises 27-30, (a) construct a binomial distribution, (b) graph the binomial distribution using a histogram and describe its shape, and (c) identify any values of the random variable x that you would consider unusual. Explain your reasoning. 27. 29. Working Mothers Forty-nine percent of working mothers do not have enough money to cover their health insurance deductibles. You randomly select seven working mothers and ask them whether they have enough money to cover their health insurance deductibles. The random variable represents the number of working mothers who do not have enough money to cover their health insurance deductibles. (Source: Aflac) Workplace Cleanliness Fifty-seven percent of employees judge their peers by the cleanliness of their workspaces. You randomly select 10 employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number of employees who judge their peers by the cleanliness of their workspaces. (Source: Adecco) Living to Age 100 Seventy-seven percent of adults want to live to age 100. You randomly select five adults and ask them whether they want to live to age 100. The random variable represents the number of adults who want to live to age 100. (Source: Standford Center on Longevity)

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