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Distributionsmedium
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Consider the sum of two independent Poisson variables X∼Poisson(λ1)X \sim \text{Poisson}(\lambda_1)X∼Poisson(λ1​) and Y∼Poisson(λ2)Y \sim \text{Poisson}(\lambda_2)Y∼Poisson(λ2​). What is the distribution of Z=X+YZ = X + YZ=X+Y?