Question: 7.3 Let X1 and X2 be discrete random variables with the joint multinomial distribution f(x1, x2 ) = 2 x1, x2 , 2

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

=



2 x1, x2 , 2 − x1 − x2



1 4

x1 

1 3

x2 

5 12

2−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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