Let x denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. f(x) = 0 x < 0 x2 25 0 ≤ x < 5 1 5 ≤ x use the cdf to obtain the following. (if necessary, round your answer to four decimal places.) (a) calculate p(x ≤ 4). (b) calculate p(3.5 ≤ x ≤ 4). (c) calculate p(x > 4.5). (d) what is the median checkout duration ? [solve 0.5 = f()]. (e) obtain the density function f(x). f(x) = f '(x) = (f) calculate e(x). (g) calculate v(x) and σx. v(x) = σx = (h) if the borrower is charged an amount h(x) = x2 when checkout duration is x, compute the expected charge e[h(x)].