The lengths of adult males' hands are normally distributed with mean 185 mm and standard deviation is 7.1 mm. Suppose that 50 individuals are randomly chosen. Round all answers to 4 where possible.

A. What is the distribution ofx ?x~ N ( , )

B. For the group of 50, find the probability that the average hand length is more than 183.

C. Find the first quartile for the average adult male hand length for this sample size.

D.For part b), is the assumption that the distribution is normal necessary? Yes or No