Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 45. Assume fourteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.
What is the distribution of ? ~ N(,)
For the group of 14, find the probability that the average number of friends is less than 106.
Find the third quartile for the average number of Facebook friends.
For part b), is the assumption that the distribution is normal necessary?
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