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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. 20 16 18 0.3 0.4 0.3 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 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? (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. 20 16 18 0.3 0.4 0.3 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 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? (Enter your answer to four decimal places.) ft³

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 E(X)= E(X²)= V(x) = P(x) 16 20 18 0.3 0.4 0.3 (a) Compute E(X), E(X2), and V(X). ft3 (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? (Enter your answer to four decimal places.) ft³
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. X E(X)= E(X²)= V(x) = P(x) 16 20 18 0.3 0.4 0.3 (a) Compute E(X), E(X2), and V(X). ft3 (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? (Enter your answer to four decimal places.) ft³
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