A random variable X has the geometric distribution g(x; p) = pq x?1 for x = 1,

Question:

A random variable X has the geometric distribution g(x; p) = pq^x?1 for x = 1, 2, 3 Show that the moment-generating function of X is and then use Mx(t) to find the mean and variance of the geometric distribution.

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...