The lengths of adult males' hands are normally distributed with mean 188 mm and standard deviation is 7 mm. Suppose that 42 individuals are randomly chosen. Round z-scores to 2 decimal places for use in calculations. Round all other answers to 4 where possible.a. What is the distribution of ? - Nb. For the group of 42, find the probability that the average hand length is more than 189.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 No