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According to a study, the probability a randomly selected individual will not cover his or her...

According to a study, 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 (practicing “social distancing”) and observe 15 randomly selected individuals’ habits as they sneeze.
a. Is it appropriate to use a normal approximation to the binomial distribution? Explain.
b. Suppose you observe 300 randomly selected individuals. Determine the probability that more than 100 of those individuals did not cover their mouths when sneezing.
c. Based on your result in (b), would you be surprised if, after observing 300 individuals, more than 100 did not cover their mouth when sneezing? Explain.

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