5.22 Number of friends on Facebook. In Australia, young people aged 18 to 29 have an average of 394 Facebook friends. 10 This population distribution takes only integer values, so it is certainly not Normal. It is also highly skewed to the right. Suppose that = 280 and you take an SRS of 70 Facebook users from this population. a. For your sample, what are the mean and standard deviation of, the mean number of friends per user? b. Use the central limit theorem to find the probability that the average number of friends for an SRS of 70 Facebook users is greater than 425. c. What are the mean and standard deviation of the total number of friends in your sample? d. What is the probability that the total number of friends among your sample of 70 Facebook users is greater than 29,750?