Heights of men in America have a normal distribution with a mean of 69.5 inches and a standard deviation of 3 inches. Perform the following calculations.a. In a random sample of 20 adult men in the United Sates, find P(68 < X^bar < 70).b. Let X^bar represent the mean height of a random sample of n American adults, find n if P(68.52 < X^bar < 70.48) = 0.95.c. If 100 American men are chosen at random, find the probability that at least 25 of them are shorter than 68 inches.