a. b. What is the distribution of Y? What are E[Y] and Var[Y]?

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5. Let X₁ and X₂ be iid Poisson() random variables with pmf p(x) =
H'e
exp{p(e-1)), for tER. Let Y=X₁+X₂.
a.
b.
What is the distribution of Y?
What are E[Y] and Var[Y]?
for x 0,1,2,..., and mgf
9
X!
Transcribed Image Text:5. Let X₁ and X₂ be iid Poisson() random variables with pmf p(x) = H'e exp{p(e-1)), for tER. Let Y=X₁+X₂. a. b. What is the distribution of Y? What are E[Y] and Var[Y]? for x 0,1,2,..., and mgf 9 X!
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