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 12 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

(b) What is the probability that among 12 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?

(c) Would you be surprised if, after observing 12 individuals, fewer than half covered their mouth when sneezing? Why?