Question: It is known that there is a great disparity in the salaries of professional baseball players. The mean salary for 1994 as listed by USA today is 1,183,400 with a standard deviation of 1,390,900. The distribution is skewed right.

a. What is the probability we select 40 players randomly and find their average salary to be greater than 2,000,000?

b. What effect did the fact that the distribution is skewed right play in the calculation of the probability? Justify why.

c. It is believed that the central limit theorem is one of the most important theorems in all statistics, why is this theorem so important?