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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

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 16 randomly observed individuals exactly

7 do not cover their mouth when sneezing?

(b) What is the probability that among 16 randomly observed individuals fewer than

3 do not cover their mouth when sneezing?

(c) Would you be surprised if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why?

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