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. x 16 18 20 p(x)       0.5     0.3     0.2   (a) Compute E(X), E(X2), and V(X). (b) If the price of a freezer having capacity X is 69X − 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?

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