According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will cover his or her mouth with a tissue, handkerchief, or elbow( the method recommended by public health officials) when sneezing is 0.047. Suppose you sit on a bench in a mall and observe people’s habits as they sneeze.

a. What is the probability that among 15 randomly observed sneezing individuals exactly 2 cover their mouth with a tissue, handkerchief, or elbow?
b. What is the probability that among 15 randomly observed sneezing individuals fewer than 3 cover their mouth with a tissue, handkerchief, or elbow?
c. Would you be surprised if, after observing 15 sneezing individuals, more than 4 covered the mouth with a tissue, handkercief, or elbow?