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. 16 18 20 0.4 0.2 0.4 P(x) (a) Compute E(X), E(X²), and V(X). ft³ E(X)= E(X²) = V(X) = (b) If the price of a freezer having capacity X is 67X- 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? (Enter your answer to four decimal places.) ft³

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. 16 18 20 0.4 0.2 0.4 P(x) (a) Compute E(X), E(X²), and V(X). ft³ E(X)= E(X²) = V(X) = (b) If the price of a freezer having capacity X is 67X- 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? (Enter your answer to four decimal places.) ft³

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Transcribed Image Text: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. 16 18 20 0.4 0.2 0.4 P(x) (a) Compute E(X), E(X2), and V(X). ft³ E(X) = E(X²) = V(X) = (b) If the price of a freezer having capacity X is 67X- 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? (Enter your answer to four decimal places.) ft³

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