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Mathematics, 17.02.2020 19:37 lambobacon4515
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).
b. If the price of a freezer having capacity X cubic feet is 28X β 8.5, what is the expected price paid by the next customer to buy a freezer? (Round your answer to the nearest whole number.)
c. What is the variance of the price 28X β 8.5 paid by the next customer? (Round your answer to the nearest whole number.)
d. Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X β 0.02X2. What is the expected actual capacity of the freezer purchased by the next customer? (Round your answer to three decimal places.)
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An appliance dealer sells three different models of upright freezers having 13.5, 15.9, and 19.1 cub...
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