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) 0.2 0.5 0.3 (a) compute e(x), e(x2), and v(x). e(x) = ft3 e(x2) = v(x) = (b) if the price of a freezer having capacity x is 68x − 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 − 0.009x2. what is the expected actual capacity of the freezer purchased by the next customer? ft3