Finding Binomial Probabilities In Exercises 15-22, find the indicated probabilit

Question

Finding Binomial Probabilities In Exercises 15-22, find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B to find the probabilities 15. Fair and Accurate News Sixty percent of U.S. adults trust national newspapers to present the news fairly and accurately. You randomly select nine U.S. adults. Find the probability that the number of U.S. adults who trust national n ewspapers to present the news fairly and accurately is (a) exactly five, (b) at least six, and (c) less than four. (Source: Harris Interactive) 16. Childhood Obesity Thirty-nine percent of U.S. adults think that the government should help fight childhood obesity. You randomly select six U.S. adults. Find the probability that the number of U.S. adults who think that the government should help fight childhood obesity is (a) exactly two (b) at least four, and (c) less than three. (Source: Rasmussen Reports) 17. Ease of Voting Twenty-seven percent of likely U.S. voters think that it is too easy to vote in the United States. You randomly select 12 likely U.S voters. Find the probability that the number of likely U.S. voters who think that it is too easy to vote in the United States is (a) exactly three, (b) at least four, and (c) less than eight. (Source: Rasmussen Reports) 18. Junk Food Sixty-three percent of U.S. adults oppose special taxes on junk food and soda. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who oppose special taxes on junk food and soda is (a) exactly six, (b) at least five, and (c) less than eight. (Source Rasmussen Reports) 19. Clothes Shopping Fifty-six percent of men do not look forward to going clothes shopping for themselves. You randomly select eight men. Find the probability that the number of men who do not look forward to going clothes shopping for themselves is (a) exactly five, (b) more than five, and (c) at most five. (Source: Men's Wearhouse 20. Safety Recall Sixty-eight percent of adults would still consider a car brand despite product/safety recalls. You randomly select 20 adults. Find the probability that the number of adults who would still consider a car brand despite product/safety recalls is (a) exactly one, (b) more than one, and (c) at most one. (Source: Deloitte)

Explanation / Answer

15)
p= 0.60
n = 9
a)
P(X = 5)
= =BINOMDIST(5,9,0.6,0)
= 0.250822
b)

P(X>= 6)
= 1-P(X<= 5)
= 1 - BINOMDIST(5,9,0.6,1)
= 0.482609664
c)
P(X<4)
=P(X<=3)
=BINOMDIST(3,9,0.6,1)
= 0.099352576

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