An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rated capacity of a freezer of this brand sold at a certain store. Suppose that X has the following pmf. 16 18 20 p(x) 0.5 0.4 0.1 (a) Compute E(x), E(X2), and V(x). E(X)= 17.2 ft Ex2) 297.6 V(X) = 1.76 650, what is the expected price paid by the next customer to buy a freezer? (b) If the price of a freezer having capacity X is 69X $536.8 (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-0.008x? what is the expected actual capacity of the freezer purchased by the next customer? ft3