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Hypergeometric Distribution Calculator

The hypergeometric distribution calculator determines the simple and cumulative probabilities, mean, variance, and standard deviation of a distribution.

Probabilities:

How to Use the Hypergeometric Distribution Calculator?

  1. First, enter the population and sample size and the number of successes in the population and sample.
  2. Press the 'Calculate' button to get the probability results.
  3. Finally, the tool calculates and returns the simple and cumulative probabilities of the hypergeometric distribution. It also shows the mean, variance, and standard deviation for the given inputs.

How to Calculate?

The hypergeometric distribution can be found using the following formula:

P(X = x) =
(
M
x
 ) (
N-M
n-x
 )
(
N
x
 )

To calculate mean, variance, and standard deviation, refer to the following formulas:

Mean (μ) =   n × 
M
N
Variance (σ2) =   n ×
M
N
 ×
N - M
N
 ×
N - n
N - 1
Standard Deviation (σ) =   √σ2

Where,
N = Population Size,
M = Number of Successes in Population,
n = Sample Size,
x = Number of Successes in Sample.

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