According to a study done by a universitystudent, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267

0.267. Suppose you sit on a bench in a mall and observepeople's habits as they sneeze.

(a) What is the probability that among 16

16 randomly observed individuals exactly 5

5 do not cover their mouth whensneezing?

(b) What is the probability that among 16

16 randomly observed individuals fewer than 3

3 do not cover their mouth whensneezing?

(c) Would you be surprisedif, after observing 16

16 individuals, fewer than half covered their mouth whensneezing? Why?

(a) The probability that exactly 5

5 individuals do not cover their mouth is

nothing

.

(Round to four decimal places asneeded.)