Show that if X is a random variable having the Poisson distribution with the parameter and , then the moment generating function of Z X That is, that of a standardized Poisson random variable, approaches the moment generating function of the standard normal distribution ...

Show that if X is a random variable having the Poisson distribution with the parameter and

Question:

Show that if X is a random variable having the Poisson with the parameter λ and λ → ∞, then the moment-generating function of
Z = X – λ / √λ
That is, that of a standardized Poisson random variable, approaches the moment-generating function of the standard normal 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...