Let X and Y be two independent poisson random variables with probability mass functions Px (a) = e-a. ad and Py a! e-9g, where a and b are poisson (B)= B! parameters for X and Y. Find the density of Z = X+ Y.

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10 Let X and Y be two independent poisson random variables with probability mass
functions Px (a)
e-a. ad and Py (B) =
a!
e-b bb, where a and b are poisson
B!
=
%3D
parameters for X and Y. Find the density of Z = X+ Y.
Transcribed Image Text:10 Let X and Y be two independent poisson random variables with probability mass functions Px (a) e-a. ad and Py (B) = a! e-b bb, where a and b are poisson B! = %3D parameters for X and Y. Find the density of Z = X+ Y.
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