Let X be a binomial random variable with mean Np and variance Np(1p). Show that the ratio

Question:

Let X be a binomial random variable with mean Np and variance Np(1−p). Show that the ratio X/N also has a binomial with mean p and variance p(1 − p)/N.
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...