There are two "independent" games: • in the first game, the possible rewards are {0, 1, 2} and probabilities of getting the rewards are: p(0) = p(1) = p(2) = 1 3 . • in the second game, the possible rewards are {10, 20, 30} and probabilities of getting the rewards are: p(10) = 1 2 , p(20) = 1 3 , p(30) = 1 6 . define x to be the multiplication of the rewards obtained from game 1 and game 2. part a calculate pmf of x, e[x] and var[x]. part b calculate e[2x + 4] and var[3x + 6].