HypGeomDist

Syntax

HypGeomDist(SuccessfulTrials, Trials, SuccessfulInPopulation, PopulationSize)

Parameters

SuccessfulTrials. The number of successful trials in the sample. The value must satisfy the constraints:

SuccessfulTrials > = 0;
SuccessfulTrials < = min(Trials, SuccessfulInPopulation);
SuccessfulTrials > = max(0, Trials-PopulationSize+SuccessfulTrials);

Trials. Sample size. Available values are taken from the [0; PopulationSize] range.

SuccessfulInPopulation. The number of successful trials in the population. Available values are taken from the [0; PopulationSize] range.

PopulationSize. Size of population. The value must satisfy the constraint: PopulationSize >= 0.

Description

The method returns the hypergeometric distribution.

Comments

The method returns the probability of a given number of sample successes, given the sample size, population successes, and population size.

The function is used to solve problems involving a finite universal set, where each observation is assumed to be a success or a failure and each subset of the specified size can be selected with equal probability. The method is used for samples with no repeats from a finite universal set.