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Suppose that the average number of Facebook friends users have is normally distributed with a mean of 132 and a standard deviation of about 47.

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 132 and a standard deviation of about 47. Assume forty-seven individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible.

A. What is the distribution ofX?X~ N ( , )

B. For the group of 47, find the probability that the average number of friends is more than 125.

C. Find the third quartile for the average number of Facebook friends.

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

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