Let X denote the amount of time a book on two-hourreserve

Chapter 4, Problem 11

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Let X denote the amount of time a book on two-hourreserve is actually checked out, and suppose the cdf isF(x) 550 x , 0x240 # x , 21 2 # xa. Calculate P(X # 1).b. Calculate P(.5 # X # 1).c. Calculate P(X . 1.5).d. What is the median checkout duration m,? [solve.5 5 F(m,)].e. Obtain the density function f (x).f. Calculate E(X).g. Calculate V(X) and sX.h. If the borrower is charged an amount h(X) 5 X2when checkout duration is X, compute the expectedcharge E[h(X)].

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