![The cdf of a certain college library checkout duration X is as follows. x <0 1 0 <x < 3.5 F (x) = 1 3.5 < x Use this to compute the following. (a) P(X S 1) 0.027 (b) P(.5 < x< 1) 0.0238 (c) P(X > .5) (d) the median checkout duration i [solve .5 = FM] (e) F '(x) to obtain the density function f (x) (f) E(X) (g) V(X) Ox (h) If the borrower is charged an amount h(X) = x2 when checkout duration is X, compute the expected charge E[h(X)].](https://content.bartleby.com/qna-images/question/2573ecdd-68b9-4131-a6a9-a6f367bbfed7/227f3c60-e6fe-4ee2-a517-ff7f2a028a16/982cwwi_processed.png)
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