Suppose that the distribution of male heights in the US has a mean of 70 in, a standard deviation of 3 in, and a population is 100,994,367.

a) if a sample of 10,000 males is drawn from the U.S population what is the expected height of the sample?

b) If a sample of 10,000 males is drawn from the US population, calculate the standard deviation of height for that sample.

c)What is the probability that the average height of your sample of 10,000 males is greater than 78 in?