Let X denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a randomly selected student and suppose that X has density function Jkx, f(x) = if 0≤x≤1 otherwise. a. Find the value of k. Calculate the following probabilities: b. P(X ≤ 1), P(0.5 ≤X ≤ 1.5), and P(1.5 ≤X)