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 bad habits as they sneeze.(a) what is the probability that among 10 randomly observed individuals exactly 4 do not cover their mouth when sneezing? (b) what is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth when sneezing? (c) would you be surprised if, after observing 10 individuals, fewer than half covered their mouth when sneezing? why?