Question

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 0.2670.267. suppose you sit on a bench in a mall and observe​ people's habits as they sneeze. ​(​a) what is the probability that among 1010 randomly observed individuals exactly 88 do not cover their mouth when​ sneezing? ​(​b) what is the probability that among 1010 randomly observed individuals fewer than 33 do not cover their mouth when​ sneezing? ​(​c) would you be surprised​ if, after observing 1010 ​individuals, fewer than half covered their mouth when​ sneezing? why?

Answer 1

a.) The required probability is 0.1655.

b.) The required probability is 0.4752.

c.) The required probability is 0.9004.

Solution is attached.