2 b-a a с b X 1. Let X be a random variable such that X Tr(-1,1,0). ~ a. Find the pdf of X, fx(x). b. Find the cdf of X, Fx (x) c. Find P(-/< X <-). d. Find E[X] e. Find Var[X] 2. With X as above, let Y = rX+s, where r and s are real numbers. (All answers to the following questions will be in terms of r, s). a. Find the cdf of Y, fy(x). b. Find the pdf of Y, Fy(x). c. Find E[Y] d. Find Var[Y]. e. Find the values of rs such that Y TrI5 15 101

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