Suppose that the average number of friends users have is normally distributed with a mean of 130 and a standard deviation of about 49. Assume eighteen individuals are randomly chosen.
Answer the following questions. Round all answers to 4 decimal places where possible.

What is the distribution of
X? X ~ N( , )

For the group of 18, find the probability that the average number of friends is less than 135.

Find the first quartile for the average number of friends.

For part b), is the assumption that the distribution is normal necessary? No or Yes