WorksheetFunction.HypGeom_Dist method (Excel)

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

expression.HypGeom_Dist (Arg1, Arg2, Arg3, Arg4, Arg5)

expression A variable that represents a WorksheetFunction object.

Parameters

Name	Required/Optional	Data type	Description
Arg1	Required	Double	Sample_s - the number of successes in the sample.
Arg2	Required	Double	Number_sample - the size of the sample.
Arg3	Required	Double	Population_s - the number of successes in the population.
Arg4	Required	Double	Number_population - the population size.
Arg5	Optional	Variant	Cumulative - a logical value that determines the form of the function. If cumulative is True, HypGeom_Dist returns the cumulative distribution function; if False, it returns the probability mass function.

Return value

Double

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_population ≤ 0, HypGeom_Dist returns the #NUM! error value.

The equation for the hypergeometric distribution is as follows, where:

• x = sample_s
• n = number_sample
• M = population_s
• N = number_population

HypGeom_Dist is used in sampling without replacement from a finite population.

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