Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is

a. Calculate P(X ≤ 1).
b. Calculate P(.5 ≤ X ≤ 1).
c. Calculate P(X > 1.5).

e. Obtain the density function f (x).
f. Calculate E(X).
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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