Suppose that the average number of Facebook friends users have is normally distributed with a mean of 112 and a standard deviation of about 42. Assume forty-five individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.

1. What is the distribution of ? ~ N(,)
2. For the group of 45, find the probability that the average number of friends is less than 104.
3. Find the first quartile for the average number of Facebook friends.
4. For part b), is the assumption that the distribution is normal necessary? YesNo

Hint: