Let X denote the amount of time a book on twohour reserve is

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. Use the cdf to obtain the following. (If necessary, round your answer to four decimal places.) Calculate P(X 1). Calculate P(0.5 X 1). Calculate P(X > 1.5). What is the median checkout duration mu? [solve 0.5 = F(mu) Obtain the density function f(x). Calculate E(X). Calculate V(X) and sigma_x. If the borrower is charged an amount h(X) = X^2 when checkout duration is X, compute the expected charge E[h(X)].

Solution

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

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