An certain brand of upright freezer is available in three different rated capacities: 16 ft ³, 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 p(x) 16 18 20 0.4 0.1 0.5 (a) Compute E(X), E(X²), and V(X). = E(X) = E(X2) = V(X) = ft³ (b) If the price of a freezer having capacity X is 66X - 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 ft ³, 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 p(x) 16 18 20 0.4 0.1 0.5 (a) Compute E(X), E(X²), and V(X). = E(X) = E(X2) = V(X) = ft³ (b) If the price of a freezer having capacity X is 66X - 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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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