The lengths of adult males' hands are normally distributed with mean 186 mm and standard deviation is 7.2 mm. Suppose that 49 individuals are randomly chosen. Round all answers to 4 where possible.

1. What is the distribution ofxx?xx~ N(,)
2. For the group of 49, find the probability that the average hand length is less than 188.
3. Find the first quartile for the average adult male hand length for this sample size.
4. For part b), is the assumption that the distribution is normal necessary?Yes No