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Distributionshard
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For two independent Poisson variables X1∼Poisson(λ1)X_1 \sim \text{Poisson}(\lambda_1)X1​∼Poisson(λ1​) and X2∼Poisson(λ2)X_2 \sim \text{Poisson}(\lambda_2)X2​∼Poisson(λ2​), what is the variance of the difference D=X1−X2D = X_1 - X_2D=X1​−X2​?