The proportion of time Y that an industrial robot is in operation during a 40-hour week is a random variable with probability density function f(y) = { 2y for 0 < y < 1, 0 elsewhere (1) Find E(Y) and Var(Y) (2) For the robot under study, the profit X for a week is given by X = 200Y - 60. Find E(X) and Var(X)