Fill in the Blanks 0 x 5 Type your answers in all of the blanks and submit Let X denote the amount of time a book on two-hour reserve is actually checked out. The above equation represents the CDF of X. Calculate the following probabilities. If necessary, round answers to three decimal places. (a) P(X 2.5) = Type your answer here(d) What is the median check out duration? Hint: solve F(Xp.5) = 0.5 for Xo.5- Type your answer here Obtain the PDF of X, f(x) = F'(x). use f(x) to solve the following. (e) Calculate E (X) =. Type your answer here (f) Calculate Var (X) =. Type your answer here (g) If the borrow is charged an amount h(X) = X when the checkout duration is X, compute the expected charge E(h (X)). Type your answer here