In: Statistics and Probability
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 4 do not cover their mouth when sneezing?(b) What is the probability that among 18 randomly observed individuals fewer than 3 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?
(c) Fewer than half of 18 individuals covering their mouth would/would not be surprising because the probability of observing fewer than half covering their mouth when sneezing is ………., which is an usual/unusual event.