The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7.1 mm. Suppose that 10 individuals are randomly chosen. Round all answers to 4 where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N( , )For the group of 10, find the probability that the average hand length is more than 185.Find the third quartile for the average adult male hand length for this sample size. For part b), is the assumption that the distribution is normal necessary?