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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. 16 18 20 p(x) 0.3 0.1 0.6 (a) Compute E(X), E(X²), and V(X). E(X) = ft3 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? 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 p(x) 0.3 0.1 0.6 (a) Compute E(X), E(X²), and V(X). E(X) = ft3 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? ft3

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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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. 16 18 20 p(x) 0.3 0.1 0.6 (a) Compute E(X), E(X²), and V(X). E(X) = ft3 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? 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. 16 18 20 p(x) 0.3 0.1 0.6 (a) Compute E(X), E(X²), and V(X). E(X) = ft3 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? ft3
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