Question: If X1, X2, and X3 have the multinomial distribution (see Definition 5.8 on page 165) with n = 2, 1 = 14 , 2 =

If X1, X2, and X3 have the multinomial distribution (see Definition 5.8 on page 165) with n = 2, θ1 = 14 , θ2 = 13 , and θ3 = 5/12 , find the joint probability distribution of Y1 = X1 + X2, Y2 = X1 – X2, and Y3 = X3.

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