Let Xn be a random variable having the binomial distribution with parameters n and pn Assume that limn npn Prove that the m g f of Xn converges to the m g f of the Poisson distribution with mean ...

The mgf of the binomial distribution with pa ...

Let Xn be a random variable having the binomial distribution with parameters n and pn. Assume that

Question:

Let Xn be a random variable having the binomial with parameters n and pn. Assume that limn→∞ npn = λ. Prove that the m.g.f. of Xn converges to the m.g.f. of the Poisson with mean λ.
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...