This hypergeometric calculator can help you compute individual and cumulative hypergeometric probabilities based on population size, no. of successes in population, sample size and no. of successes in sample.

Population size [N]:*
No. of successes in population [s]:*
Sample size [n]:*
No. of successes in sample [x]:*

## How does this hypergeometric calculator work?

The algorithm behind this hypergeometric calculator is based on the formulas explained below:

1) Individual probability equation: H(x=x given; N, n, s) = [ sCx ] [ N-sCn-x ] / [ NCn ]

2) H(x<x given; N, n, s) is the cumulative probability obtained as the sum of individual probabilities for all cases from (x=0) to (x given – 1).

3) H(x≤x given; N, n, s) is the cumulative probability obtained as the sum of individual probabilities for all cases from (x=0) to (x given).

4) H(x>x given; N, n, s) = 1 - H(x≤x given; N, n, s)

5) H(x≥x given; N, n, s) = H(x=x given; N, n, s) + H(x>x given; N, n, s)

Where:

N = Population size which should be finite.

n = Sample size that should be big enough to ensure relevancy for the population and the experiment being driven.

s = No. of successes in population.

x = No. of successes in sample.

## What is a hypergeometric experiment?

The hypergeometric experiment has two particularities:

■ The randomly selections from the finite population take place without replacement.

■ Each member of the population can either be considered a success or failure.

While a hypergeometric distribution represents the probability associated with the occurrence of a specific number of successes in a hypergeometric experiment.

28 Jul, 2015 | 0 comments