Suppose that the number of Facebook friends users have is normally distributed with a mean of 149 and a standard deviation of about 41. Assume fifteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a.  What is the distribution of x̄? x̄ - N  -----------, ---------- b.  For the group of 15, find the probability that the average number of friends is less than 156. ------------- c.  Find the first quartile for the average number of Facebook friends. Round to 2 decimals places. --------------- d.  For part b), is the assumption that the distribution is normal necessary?  ------------No, --------- yes

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