statistics and probability

2. Let a represent the weight loss, in pounds, of people attending a national weight loss clinic. The distribution of a has mean / = 8 pounds and standard deviation g = 4 pounds. Suppose that a group of 50 people who attend this weight-loss clinic are randomly selected, and let a represent the average weight loss for this group (a) Explain in a sentence why the distribution of I is approximately normal (b) What are the mean and standard deviation of I? Use the appropriate symbols. and round to four decimal places. (c) If a group of 50 people who attend this weight-loss clinic are randomly selected. what is the probability that the average weight loss for the group is between 7.5 and 8.5 pounds? Round to three places. (d) If a group of 50 people who attend this weight-loss clinic are randomly selected what is the probability that the average weight loss for the group is more than 9.5 pounds? Round to three places