3 Suppose we roll a die, let X be the number we get. Suppose the probability mass function p(x) = P (X = x) is such that p(1) = .1, p(2) = .1, p(3) = .1, p(4) = .2, p(5) = .2, p(6) = .3. (1) Calculate P (X > 4). Calculate P (X = 6|X > 4). (2) Calculate E(X), Var(X), and SD(X). (3) Suppose the reward for x is h(x), and h(1) = $20, h(2) = $10, h(3) = $0, h(4) = $10, h(5) = $20, h(6) = $100. Calculate E(h(X)), Var(h(X)) and SD(h(X)). What are the units of E(h(X)) and Var(h(X))