## Conditioning and a sum of Poisson random variables

Previously we talked about the Poisson distribution. The Poisson distribution with mean $\mu \gt 0$ is a distribution on the natural numbers whose density function is $$f(n) = \frac{e^{-\mu}\mu^n}{n!}$$ We have already seen that the Poisson distribution essentially arises from the binomial distribution as a sort of "limiting case". In fact, the Poisson distribution is […]