mean, variance, and stanau values of n and p. 12. n = 64, p = 0.85 11. n = 80, p = 0.3 14. n = 316, p = 0.72 13. n = 124, p = 0.26 Using and Interpreting Concepts Finding Binomial Probabilities In Exercises 15-24, find the indicated probabilities. If convenient, use technology to find the probabilities. 15. Answer Guessing You are taking a multiple-choice quiz that consists of five questions. Each question has four possible answers, only one of which is correct. To complete the quiz, you randomly guess the answer to each question. Find the probability of guessing (a) exactly three answers correctly, (b) at least three answers correctly, and (c) less than three answers correctly. 16. Surgery Success A surgical technique is performed on seven patients. You are told there is a 70% chance of success. Find the probability that the surgery is successful for (a) exactly five patients, (b) at least five patients, and (c) less than five patients. 17. Baseball Fans Fifty-nine percent of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is (a) exactly eight, (b) at least eight, and (c) less than eight. (Source: Gallup Poll)18. Favorite Cookie Ten _ percent of adults say oatmeal raisin is their favorite cookie. You randomly fav , ' select 12 adults and ask each to name his or her Orlte cookie. Find the probability that the number who say oatmeal raisin i . . . . f5 thgn: favome cookie 13 (a) exactly four, (b) at least four, and (c) less than our. (Source: WIS/l REVIiR) 19. Vacation Purpose Twent y-one percent of vacationers say the primary Purpose of their V . acation is outdoor recreation. You randomly select 10 vacationers and ask each to name the primary purpose of his or her vacation. Find the probability that the number who say outdoor recreation is the prlmary purpose of their vacation is (a) exactly three, (b) (more than three, and (C) at most three. (Source: Travel Industry Association) 20. Honeymoon Financing Seventy percent of married couples paid for their honeymoon themselves. You randomly select 20 married couples and ask each if they paid for their honeymoon themselves. Find the probability that the number of couples who say they paid for their honeymoon themselves is (a) exactly one, (b) more than one, and (c) at most one. (Source: Bride's Magazine) 21. Favorite Nut Fifty-five percent of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. (Source: Harris Interactive) 22. Retirement Fourteen percent of workers believe they will need less than $250,000 when they retire. You randomly select 10 workers and ask each how much money he or she thinks they will need for retirement. Find the probability that the number of workers who say they will need less than $250,000 when they retire is (a) exactly two, (b) more than six, and (c) at most five. (Source: Retirement Corporation of America) 23. Credit Cards Twenty-eight percent of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each 'to name the reason he or she uses credit cards. Find the prObability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. (Source: Experience. com) 24. Career Advancement Twentyfour percent of executives say that older workers have blocked their career advancement. You randomly select 12 executives and ask if they feel that older workers have blocked their career advancement. Find the probability that the number who say older workers have blocked their career advancement 1.8 (a) exactly four, (b) more than four, and (c) between four and eight inclus1ve. (Source: Korn/Ferry International) ing Binomial Distributions In Exercises 2528, (a) construct id tribution, (b) graph the binomial distribution usmg a histogram, 2' e shape of the histogram, nd the (d) mean, (e) variance, and ,e binomial distribution, and (g) interpret the results in \"Him \".1\"-.. -1'11\". _.,.__.1...-_ .........1.1. _. _l._r