Question: Let X and X be discrete random variables with the joint multinomial distribution 2 1 2 for x = 0, 1, 2; x = 0,

Let X and X be discrete random variables with the joint multinomial distribution 2

1 2 for x = 0, 1, 2; x = 0, 1, 2; x + x ≤ 2; and zero elsewhere. Find the joint probability distribution of Y = X + X and Y = X – X .

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