An certain brand of upright freezer is available in three different rated capacities: 16 ft, 18 ft, and 20 ft. 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 P(x) 0.1 0.3 0.6 (a) Compute E(X), E(x2), and v(X). E(X)= E(x2) = V(X) = (b) If the price of a freezer having capacity X is 64X - 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?

An certain brand of upright freezer is available in three different rated capacities: 16 ft, 18 ft, and 20 ft. 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 P(x) 0.1 0.3 0.6 (a) Compute E(X), E(x2), and v(X). E(X)= E(x2) = V(X) = (b) If the price of a freezer having capacity X is 64X - 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?

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 ft, 18 ft, and 20 ft. 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 p(x) 0.1 0.3 0.6 (a) Compute E(X), E(x2), and v(X). E(X) = E(x2) = V(X) = (b) If the price of a freezer having capacity X is 64X - 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

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