For a Binomial distribution to be approximated to Poisson (law of large numbers).
n should be big and p should be small.
In the proof I can see why n must be big,
but can some explain to me why must the probability be small?
Follow Math Help Forum on Facebook and Google+
so that np converges to lambda
the mean of both distributions are np and lambda, respectively
if p didn't go to zero inversely to n, then the mean would explode and you couldn't converge
to a distribution with a finite mean like a Poisson
View Tag Cloud