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 (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):
- 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.
- 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.
A sampler of chocolates contains 20 pieces. Eight pieces are caramels, and the remaining 12 are nuts. If a person selects 4 pieces at random, the following function returns the probability that exactly 1 piece is a caramel.
The example may be easier to understand if you copy it to a blank worksheet.
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Selecting an example from Help
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After you copy the example to a blank worksheet, you can adapt it to suit your needs.
||Number of successes in the sample
||Number of successes in the population
||Cumulative hypergeometric distribution function, for sample and population above (0.4654828)
||Probability hypergeometric distribution function, for sample and population above (0.36326109)