What's the difference between a binomial, hypergeometric, and Poisson probability distribution?

Question

What's the difference between a binomial, hypergeometric, and Poisson probability distribution?

1 Answer

Impact of this question

22421 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-10T07:34:33

Binomial - Random variable $X$ $X$ is the number of successes in n independent and identical trials, where each trial has fixed probability of success.

Hypergeometric - Random variable $X$ $X$ is the number of objects that are special, among randomly selected $n$ $n$ objects from a bag that contains a total of $N$ $N$ out of which $K$ $K$ are special. If $n$ $n$ is much smaller than $N$ $N$ then this can be approximated by binomial.

Poisson - Random variable $X$ $X$ counts the number of occurrences on an event in a given period, where we know that the concurrences has an average of $λ$ $\lambda$ for any period of that length, independent of any other disjoint period.

Science

Math

Humanities

... and beyond

What's the difference between a binomial, hypergeometric, and Poisson probability distribution?

1 Answer

Related questions

Impact of this question