Let X be a mixed random variable with the following generalized PDF f_x (x) = 1/3 delta (x + 2) + 1/6 delta (x - 1) + 1/2 1/ squareroot 2 pi e^-x^2 / 2. Find P(X = 1) and P(X = -2). Find P(X > 1). Find P(X = 1X > 1). Find EX and Var(X).