According to a study done by a university student, 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 habits as they sneeze. (a) What is the probability that among 18 randomly observed individuals exactly 5 do not cover their mouth when sneezing? (b) What is the probability that among 18 randomly observed individuals fewer than 4 do not cover their mouth when sneezing? (c) Would you be surprised if, after observing 18 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 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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According to a study done by a university student, 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 habits as they
sneeze.
(a) What is the probability that among 18 randomly observed individuals exactly 5 do not cover their mouth when sneezing?
(b) What is the probability that among 18 randomly observed individuals fewer than 4 do not cover their mouth when sneezing?
(c) Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? Why?
Transcribed Image Text:According to a study done by a university student, 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 habits as they sneeze. (a) What is the probability that among 18 randomly observed individuals exactly 5 do not cover their mouth when sneezing? (b) What is the probability that among 18 randomly observed individuals fewer than 4 do not cover their mouth when sneezing? (c) Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? Why?
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