1. Question 1 Let X be an exponential random variable with parameter A. Find (For (a),(b),(c) and (d), assume ) = 8 and get the numbers): (a) P(X > 2). (b) P(X 0 and b. What is E(Y) and VAR(Y) ? 2. Question 2 (a) If X ~ Exponential()), find the PDF of Y = 1/X. (b) If X ~ N(0, 1), find the PDF of Y = X3.5. Question 5 Let X be a random variable with cumulative distribution function (CDF) F. Let F- be the inverse function of F(r). Let U be an uniform distribution between [0, 1]. Show that F-1(U) has CDF F. Note : Show means prove