According to a study done by Nick Wilson of Otago University Wellington, 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. Complete parts (a) through (c). (a) Using the binomial distribution, what is the probability that among 12 randomly observed individuals, exactly 6 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.) (b) Using the binomial distribution, what is the probability that among 12 randomly observed individuals, fewer than 3 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.) (c) Using the binomial distribution, would you be surprised if, after observing 12 individuals, fewer than half covered their mouth when sneezing? Why? V it (Round to four decimal places as needed.) V be surprising, because the probability is. which is V 0.05.