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 12 randomly observed individuals exactly 7 do not cover their mouth when​ sneezing? ​(b) What is the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing? ​(c) Would you be surprised​ if, after observing 12 individuals, fewer than half covered their mouth when​ sneezing? Why?

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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 12 randomly observed individuals exactly 7 do not cover their mouth when​ sneezing?
​(b) What is the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing?
​(c) Would you be surprised​ if, after observing 12 individuals, fewer than half covered their mouth when​ sneezing? Why?
​(a) The probability that exactly 7 individuals do not cover their mouth is?
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