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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)

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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) = 3. . In the second game, the possible rewards are {10, 20, 30} and probabilities of getting the rewards are: P(10) = -, P(20) = 3, P(30) = 6. Define X to be the multiplication of the rewards obtained from game 1 and game 2. Part a Calculate PMF of X, Part b Calculate E[X]

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