Suppose that the number of Facebook friends users have is normally distributed with a mean of 128 and a standard deviation of about 53. 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 of ? N( b. For the group of 47, find the probability that the average number of friends is less than 122. c. Find the third quartile for the average number of Facebook friends. Round to 2 decimal places. d. For part b), is the assumption that the distribution is normal necessary? O No Yes

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