# HYPGEOM.DIST

### Definition

Returns the hypergeometric distribution. HYPGEOM.DIST returns the probability of a given number of sample successes, given the sample size, population successes, and population size. Use HYPGEOM.DIST for problems with a finite population, where each observation is either a success or a failure, and where each subset of a given size is chosen with equal likelihood.

### Syntax

HYPGEOM.DIST(sample_s,number_sample,population_s,number_pop,cumulative)

The HYPGEOM.DIST function syntax has the following arguments:

• Sample_s     Required. The number of successes in the sample.

• Number_sample     Required. The size of the sample.

• Population_s     Required. The number of successes in the population.

• Number_pop     Required. The population size.

• Cumulative     Required. A logical value that determines the form of the function. If cumulative is TRUE, then HYPGEOM.DIST returns the cumulative distribution function; if FALSE, it returns the probability mass function.

### Remarks

• All arguments are truncated to integers.

• If any argument is nonnumeric, HYPGEOM.DIST returns the #VALUE! error value.

• If sample_s < 0 or sample_s is greater than the lesser of number_sample or population_s, HYPGEOM.DIST returns the #NUM! error value.

• If sample_s is less than the larger of 0 or (number_sample - number_population + population_s), HYPGEOM.DIST returns the #NUM! error value.

• If number_sample ≤ 0 or number_sample > number_population, HYPGEOM.DIST returns the #NUM! error value.

• If population_s ≤ 0 or population_s > number_population, HYPGEOM.DIST returns the #NUM! error value.

• If number_pop ≤ 0, HYPGEOM.DIST returns the #NUM! error value.

• The equation for the hypergeometric distribution is:

where:

x = sample_s

n = number_sample

M = population_s

N = number_pop

HYPGEOM.DIST is used in sampling without replacement from a finite population.

### By adding the values you would like to calculate the HYPGEOM.DIS formula for, Excellentable will generate the outcome:

A
B
1
Data
Description
2
1
Number of successes in the sample
3
4
Sample size
4
8
Number of successes in the population
5
20
Population size
6
7
HYPGEOM.DIST(A2,A3,A4,A5,TRUE)
0.465428277
8
HYPGEOM.DIST(A2,A3,A4,A5,FALSE)
0.363261094

JavaScript errors detected