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. (h) If the borrower is charged an amo

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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.

(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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