Suppose that X has a Poisson distribution with a very large mean Explain why the distribution of X can be approximated by the normal distribution with mean and variance In other words, explain why (X ) 1 2 converges in distribution, as , to a random variable having the standard normal distribution ...

Because of the property of the Poisson distribution described in Theorem 544 ...

Suppose that X has a Poisson distribution with a very large mean . Explain why the distribution

Question:

Suppose that X has a Poisson with a very large mean λ. Explain why the of X can be approximated by the normal with mean λ and variance λ. In other words, explain why (X − λ)/λ1/2 converges in as λ→∞, to a random variable having 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...