Question: Let X1 and X2 be discrete random variables with the joint multinomial distribution f(x1, x2) = for x1 = 0, 1, 2; x2 = 0,

Let X1 and X2 be discrete random variables with the joint multinomial distribution f(x1, x2)

=

for x1 = 0, 1, 2; x2 = 0, 1, 2; x1 + x2 ≤ 2; and zero elsewhere. Find the joint probability distribution of Y1 = X1 + X2 and Y2 = X1 − X2.

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