Use the calculators below to compare and contrast the binomial, Poisson, geometric,
and negative binomial probability distribution models. These calculators illustrate which of these
probability models should be chosen for a given probability problem.

Binomial Distribution: used to estimate the number of successes in
a fixed number of trials
If you have

Geometric Distribution: used to estimate the number of trials that
must occur before the first success
If you are conducting trials of a random process, and each trial can be classified
as having one of two outcomes (success or failure), and the probability for success
is

Negative Binomial Distribution: used to estimate the number of
trials that must occur before the kth success is observed
If you are conducting trials of a random process,
and each trial can be classified as having one of two outcomes (success or failure),
and the probability for success is