The HYPGEOM.DIST function 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.
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.
Example: Let’s look at some Excel HYPGEOM.DIST function examples and explore how to use the HYPGEOM.DIST function as a worksheet function in Microsoft Excel:
Based on the Excel spreadsheet above, the following HYPGEOM.DIST examples would return:
- 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:
x = sample_s
n = number_sample
M = population_s
N = number_pop
HYPGEOM.DIST is used in sampling without replacement from a finite population.