WorksheetFunction.HypGeom_Dist Method

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.

public:
 double HypGeom_Dist(double Arg1, double Arg2, double Arg3, double Arg4, bool Arg5);
public double HypGeom_Dist (double Arg1, double Arg2, double Arg3, double Arg4, bool Arg5);
Public Function HypGeom_Dist (Arg1 As Double, Arg2 As Double, Arg3 As Double, Arg4 As Double, Arg5 As Boolean) As Double

Parameters

Arg1
Double

Sample_s - the number of successes in the sample.

Arg2
Double

Number_sample - the size of the sample.

Arg3
Double

Population_s - the number of successes in the population.

Arg4
Double

Number_population - the population size.

Arg5
Boolean

Cumulative - 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.

Returns

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:

Figure 1: Equation for the hypergeometric distribution

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.

Applies to