[8] 2. Suppose that X1 and X2 are independent Poisson random variables with means A1 and A2, respectively. (a) Find the density function of U = X1 + X2 (b) Find the conditional probability function of X1, given X1 + X2 = m.

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[8 2. Suppose that X1 and X2 are independent Poisson random variables with meaIIs A1 and A2,
respectively.
(a) Find the density function of U = X1+ X2
(b) Find the conditional probability function of X1, given X1+ X2 = m.
%3D
Transcribed Image Text:[8 2. Suppose that X1 and X2 are independent Poisson random variables with meaIIs A1 and A2, respectively. (a) Find the density function of U = X1+ X2 (b) Find the conditional probability function of X1, given X1+ X2 = m. %3D
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