Over the last few months we have been looking at Bernoulli processes which are sequences of Bernoulli trails, being observations of a Bernoulli distributed random variable with a success probability of

This time we shall take a look at the binomial distribution which governs the number of successes out of

*p*. We have seen that the number of failures before the first success follows the geometric distribution and the number of failures before the*r*^{th}success follows the negative binomial distribution, which are the discrete analogues of the exponential and gamma distributions respectively.This time we shall take a look at the binomial distribution which governs the number of successes out of

*n*trials and is the discrete version of the Poisson distribution.Full text...