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 16 randomly observed
individuals exactly 5 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?