Math

StatisticsQ&A LibraryLet X1 ~ Binomial(n1, p), and let X2 ~ Binomial(n2, p), independent of X1. Show using a discrete transformation that Y = X1 + X2 ~ Binomial(n1 + n2, p). Explain why this result makes sense intuitively. Hint: the hypergeometric distribution may be helpful in finding the final marginal p.m.f.Start your trial now! First week only $4.99!*arrow_forward*

Question

- Let
*X*_{1}~ Binomial(*n*_{1},*p*), and let*X*_{2}~ Binomial(*n*_{2},*p*), independent of*X*_{1}. Show using a discrete transformation that*Y*=*X*_{1}+*X*_{2}~ Binomial(*n*_{1}+*n*_{2},*p*). Explain why this result makes sense intuitively. Hint: the hypergeometric distribution may be helpful in finding the final marginal p.m.f.

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