- According to a study done by Nick Wson of Otago University Welington, the probability a randomly seleded 'mdividual 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), {E- (a) Using the binomial distribution, what is the probabily that among 10 randomly observed individuals, exactly 5 do not cover their mouth when sneezing? The probability is D (Round to tour decimal places as needed) (b) Using the binomial distribution, what is the probability that among 10 randomly observed individuals, fewer titan 4 do not cover their mouth: when sneezing? The probability is D (Round to tour decimal places as needed ) (c) Using the binomial distribution, would you be surprised if, after observing 10 individuals, fewer than half covered their mouth when sneezing? Why? E it E be surprising, because the probability is D, which is E 0.05. (Round to four decimal places as needed ) 1