6. 2/3 points 1/4 Submissions Used My Notes Ask Your Teache An certain brand of

Question

6. 2/3 points 1/4 Submissions Used My Notes Ask Your Teache An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 f , and 20 ft3. Let = 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) 0.1 0.4 0.5 (a) Compute EO,EX),and vx E(x) 18.8 ix) = 1.76 (b) Ifthe price of a freezer having capacity X is 68x - 650, what is the expected price paid by the next customer to buy a freezer? s 628.4 (c) What is the variance of the price paid by the next customer? 8138.24 d) Suppose that although the rated capacity of a freezer is x the actua capacity is h x o oom what is the expected actual capacit of the reezer urchased by the next customer? Need Help? L Read it Talk to a Tutor

Explanation / Answer

d) Given,

h(X) = X - 0.008X2

So,

E(h(X)) = E(X) - 0.008*E(X2)

E(h(X)) = 18.8 - 0.008*355.2

E(h(X)) = 15.9584

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