Suppose that the average number of Facebook friends users haveis normally distributed with a mean of 117 and a standard deviationof about 45. Assume forty-seven individuals are randomly chosen.Answer the following questions. Round all answers to 4 decimalplaces where possible. What is the distribution of ¯ x x¯ ? ¯ x x¯~ N(,) For the group of 47, find the probability that the averagenumber of friends is more than 121. Find the third quartile for theaverage number of Facebook friends. For part b), is the assumptionthat the distribution is normal necessary? NoYes
