The lengths of adult males' hands are normally distributed with a mean of 191 mm and the standard deviation is 7.1 mm. Suppose that 15 individuals are randomly chosen. Round all answers to 4 where possible.

a. What is the distribution ofxx?xx~ N(__________, _________)

b. For the group of 15, find the probability that the average hand length is less than 189.(_________)

c. Find the third 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?No or Yes