3.Homeowners' insurance rates vary throughout the country according to a normal distribution withm = 600ands = 75. Suppose that FYI Insurance Company decides to conduct a review of 100 of its policies. Upon review of the 100 policies, it is found that the mean annual rate paid isx = 625. Assume the 100 policies were randomly selected.

A.Calculate the mean and standard deviation of the sampling distribution ofx. (6 points)

B. What does the Central Limit Theorem reveal about the distribution of the sample? (6 points)

C. What is the probability that the sample mean annual insurance cost is greater than $620? Show your work. (6 points)