QUEStion 23 - This Test: :14 p": r According to a study done by a university student. 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. (a) What is the probability that among 16 randomly observed individuals exactly 4 do not cover their mouth when sneezing? (b) What is the probability that among 16 randomly observed individuals fewer than 5 do not cover their mouth when sneezing? (c) Would you be surprised if, alter observing 16 individuals. fewer than half covered their mouth when sneezing? Why? (a) The probability that exactty 4 individuals do not cover their mouth is D (Round to four decimal places as needed) (b) The probability that fewer than 5 individuals do not cover their mouth is D (Round to four decimal places as needed) (c) Fewer than haifof 16 individuals covert their mouth be sur 'si because the probability of "9 P" "9 observing fewer than half covering their mouth when sneezing is I] which [:1 an unusual event, (Round to four decimal places as needed) ' cummi- (rm-nuan- r \"muse-Ingr-1 ' Mauro-a- ; roman-u) Marm = 030'! = P(at least a