If X1 and X2 are independent random variables having the geometric distribution with the parameter , show that Y X1 X2 is a random variable having the negative binomial distribution with the parameters and k 2 ...

Fx 1 x 2 1 x11 1 x21 x 1 x 2 y g ...

If X1 and X2 are independent random variables having the geometric distribution with the parameter , show

Question:

If X1 and X2 are independent random variables having the geometric with the parameter θ, show that Y = X1 + X2 is a random variable having the negative binomial with the parameters θ and k = 2.
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...