4. Continue Problem 3. Suppose 100 purchasers of the dishwasher soap are selected at random from all purchasers. Let X be the sample mean of the size of dishwasher soap bought by 100 randomly selected purchasers. (a) Find E(Y) and Var(f). (b) What is the approximate distribution of X by the central limit theorem? (0) Find an approximate value for P(Y