An appliance dealer sells three different models of upright freezers having 13.5, 15.9, and 19.1 cubic feet of storage space, respectively. Let X = the amount of storage space purchased by the next customer to buy a freezer. Suppose that X has the following pmf. x 13.5 15.9 19.1 p(x) 0.17 0.57 0.26 (a) Compute E(X), E(X2), and V(X). (Round your answers to two decimal places.) E(X) = 16.33 Correct: Your answer is correct. ft3 E(X2) = 269.94 Correct: Your answer is correct. ft6 V(X) = 3.46 Correct: Your answer is correct. ft6 (b) If the price of a freezer having capacity X cubic feet is 28X − 8.5, what is the expected price paid by the next customer to buy a freezer? (Round your answer to the nearest whole number.) 448.74 Correct: Your answer is correct. dollars (c) What is the variance of the price 28X − 8.5 paid by the next customer? (Round your answer to the nearest whole number.) dollars2 (d) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X − 0.02X2. What is the expected actual capacity of the freezer purchased by the next customer? (Round your answer to three decimal places.) 10.93 Correct: Your answer is correct. ft3