According to a study done by Nick Wilson of Otago UniversityWellington, 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. Complete parts(a) through(c).

• (a) Using the binomialdistribution, what is the probability that among 18 randomly observedindividuals, exactly 7 do not cover their mouth whensneezing?
• (b) Using the binomialdistribution, what is the probability that among 18 randomly observedindividuals, fewer than 3 do not cover their mouth whensneezing?
• (c) Using the binomialdistribution, would you be surprisedif, after observing 18 individuals, fewer than half covered their mouth whensneezing? Why?

I only need help to solve part (c):

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