According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's bad habits as they sneeze. (A) What is the probability that among 12 randomly observed individuals exactly 4 do not cover their mouth when sneezing? (B) What is the probability that among 12 randomly observed individuals fewer than 3 do not cover their mouth when sneezing? (C) Would you be surprised if, after observing 12 individuals, fewer than half covered their mouth when sneezing? Why?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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  1. According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's bad habits as they sneeze.

    (A) What is the probability that among 12 randomly observed individuals exactly 4 do not cover their mouth when sneezing?

    (B) What is the probability that among 12 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?

    (C) Would you be surprised if, after observing 12 individuals, fewer than half covered their mouth when sneezing? Why?

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