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 4 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?

(a) The probability that exactly 6 individuals do not cover their mouth is

=blank

(Round to four decimal places as needed.)

(b) The probability that fewer than 4 individuals do not cover their mouth is

=blank

(Round to four decimal places as needed.)

(c) Fewer than half of 12 indiv