Suppose Xi ~ Poisson(λi ), i=1,2,3, and that the X1's are independent. Let a. Find the joint MGF of Y1 and Y2 (mY1mY2(

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answerhappygod
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Suppose Xi ~ Poisson(λi ), i=1,2,3, and that the X1's are independent. Let a. Find the joint MGF of Y1 and Y2 (mY1mY2(

Post by answerhappygod »

Suppose Xi ~ Poisson(λi ),
i=1,2,3, and that the X1's are independent.
Let

a. Find the joint MGF of
Y1 and Y2 (mY1mY2(t1,t2))

b. Find the Cov(Y1,Y2) using the joint MGF
from a.
c. Find the Cov(Y1,Y2) using properties of
expectations
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