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Distributionsmedium
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If XXX and YYY are independent random variables where X∼Binomial(n1,p)X \sim \text{Binomial}(n_1, p)X∼Binomial(n1​,p) and Y∼Binomial(n2,p)Y \sim \text{Binomial}(n_2, p)Y∼Binomial(n2​,p), what is the distribution of Z=X+YZ = X + YZ=X+Y?