2. (10 points. Write all your steps leading to the answers. ) Suppose X is a random variable with pdf f(x) =e-(*+Du(x+1) Random variable Y is defind as Y=g(X). y = g(x) fx (x) X -1 -1 Then, (1) Fx(0)= (a) e-2 (b) Ite-2 (c) e-1 (d) 1-e-1 (e) None of them (2) fv(1)= (a) e-2 (b) Ite-2 (c) e-] (d) 1-e-1 (e) None of them (3) FY(0)= (a) e-2 (b) Ite-2 (c) e-1 (d) 1-e-1 (e) None of them (4) E( Y)= (a) e-2 (b) 2(e-1-e-2) (c) e-1 (d) 0.5(1-e-1) (e) None of them