WorksheetFunction.HypGeom_Dist Method
Definition
Important
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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.