Flu season has always been a notorious problem at Jefferson State University. According to a study done by a medical student, the probability a randomly selected individual will not cover their 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 greater than 8 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?