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

(a) What is the probability that among 18 randomly observed individuals exactly 5 do not cover their mouth whensneezing?

(b) What is the probability that among 18 randomly observed individuals fewer than 4 do not cover their mouth whensneezing?

(c) Would you be surprisedif, after observing 18 individuals, fewer than half covered their mouth whensneezing? Why?

(a) The probability that exactly 5 individuals do not cover their mouth is

nothing

.

(Round to four decimal places asneeded.)

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

nothing

.

(Round to four decimal places asneeded.)

(c) Fewer than half of 18 individuals covering their mouth

would not

would

be surprising because the probability of observing fewer than half covering their mouth when sneezing is

nothing

, which

is not

is

an unusual event.

(Round to four decimal places asneeded.)