An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf. X p(x) E(X) = E(X) = V(X) = 16 18 20 0.5 0.4 0.1 (a) Compute E(X), E(X2), and V(X). ft (b) If the price of a freezer having capacity X is 62X- 650, what is the expected price paid by the next customer to buy a freezer? (c) What is the variance of the price paid by the next customer? (d) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X - 0.009x. What is the expected actu capacity of the freezer purchased by the next customer? Enter your answer to four decimal places.) ft