The cdf of checkout duration X as described in Exercise 1

Chapter 4, Problem 4.19

(choose chapter or problem)

The cdf of checkout duration X as described in Exercise 1 is x 0 F(x) x 4 2 0 x 2 1 2 x Use this to compute the following: a. P(X 1) b. P(.5 X 1) c. P(X .5) d. The median checkout duration [solve .5 F( )] e. F (x) to obtain the density function f(x) f. E(X)g. V(X) and Xh. If the borrower is charged an amount h(X) X2 whencheckout duration is X, compute the expected chargeE[h(X)].

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