The cdf of a certain college library checkout duration X is as follows. {} F(x) =...

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The cdf of a certain college library checkout duration X is as follows. {} F(x) = (b) P(.5 ≤ x ≤ 1) Use this to compute the following. (a) P(X ≤ 1) (c) P(X > .5) 0x<0 (f) E(X) 0≤x < 5.0 5.0≤x (d) the median checkout duration [solve .5 = F(M)] (e) F '(x) to obtain the density function f (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)]. The cdf of a certain college library checkout duration X is as follows. {} F(x) = (b) P(.5 ≤ x ≤ 1) Use this to compute the following. (a) P(X ≤ 1) (c) P(X > .5) 0x<0 (f) E(X) 0≤x < 5.0 5.0≤x (d) the median checkout duration [solve .5 = F(M)] (e) F '(x) to obtain the density function f (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)].