Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) = 0 if x < 0; x^2/25 if 0 <= x < 5; and 1 if x >= 5. Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) (g) Calculate V(X) and σx. (Answer is not 1.391.)  (h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. F(x) = 0 if x < 0; x^2/25 if 0 <= x < 5; and 1 if x >= 5. Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.)

(g) Calculate V(X) and σx. (Answer is not 1.391.) 

(h) If the borrower is charged an amount h(X) = X2 when checkout duration is X, compute the expected charge E[h(X)].

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