Question: It is reported that the percentage of American men who say they would marry the same woman if they had to do it all over again is 75 %. Suppose 12 married men are randomly selected. Using the Binomial experiment properties, address the following: What is the probability that

a) exactly nine of these men would marry the same woman again?

b) at least 7 of these men would marry the same woman again?

c) at most 2 of these men would marry the same woman again?

d) all 12 of these men would marry the same woman again?

e) Suppose a sample of 500 married men are sampled. Find the mean and standard deviation of the number of these men would marry the same woman again. Would it be unusual to find in a sample of 500 that only 300 of these men would marry the same woman again? Be clear with answer.