Suppose that X1 and X2 are independent random variables, that X1 has the binomial distribution with parameters n1 and p, and that X2 has the binomial distribution with parameters n2 and p, where p is the same for both X1 and X2 For each fixed value of k (k 1, 2, , n1 n2), prove that the conditional...

For x 0 1 k PrX 1 xX 1 X 2 k PrX 1 x and X 1 X 2 kPrX 1 X 2 k ...

Suppose that X1 and X2 are independent random variables, that X1 has the binomial distribution with parameters

Question:

Suppose that X1 and X2 are independent random variables, that X1 has the binomial with parameters n1 and p, and that X2 has the binomial with parameters n2 and p, where p is the same for both X1 and X2. For each fixed value of k (k = 1, 2, . . . , n1 + n2), prove that the conditional of X1 given that X1 + X2 = k is hypergeometric with parameters n1, n2, and k.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...