Suppose that the average number of Facebook friends users have is normally distributed with a mean of 148 and a standard deviation of about 45. Assume forty-two individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.

1. What is the distribution of xx? xx ~ N(,)
2. For the group of 42, find the probability that the average number of friends is more than 146.
3. Find the third quartile for the average number of Facebook friends.
4. For part b), is the assumption that the distribution is normal necessary? NoYes