Question

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 8 do not cover their mouth when​ sneezing? ​(​b) What is the probability that among 16 randomly observed individuals fewer than 6 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?

Answer 1

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