Let X be a random variable with p.m.f. +1 p(x) = if I = 0, S, 7 7, 2x,.. . else (a) Find the p.m.f. of the random variable Y = sin(X ). (b) Find E[Y]. (c) Find Var[Y[. Hint. Show that the only possible values of Y are {-1, 0, 1}