In article <firstname.lastname@example.org>, "Nicolas Dickreuter" <FAKEdickreuter@yahoo.com> wrote: > Am I right in thinking that the poisson distribution is nothing more than an > approximation to the binomial (or hypergeometric distribution)? Or is there > a specific case where the poisson distribution is the only way to solve a > probability? > Any help would be appreciated. > > -- > If you reply via email please remove the 'fake' from my mailaddress. > regards > Nicolas > >
Binomial: fixed number of trials n, each with positive probability p of success.
Poisson: infinite number of trials, each with same but infinitely small probability of success.
Poisson is the limit of binomial as n goes to infinity, p goes to zero, and p*n remains constant.