Dakota Reference Manual  Version 6.4 Large-Scale Engineering Optimization and Uncertainty Analysis
total_population

Parameter for the hypergeometric probability distribution

## Specification

Alias: none

Argument(s): INTEGERLIST

## Description

The density function for the hypergeometric distribution is given by:

where

• N is the total population (e.g. the total number of balls in the urn)
• m is the number of items in the selected population (e.g. the number of white balls in the full urn of N items)
• n is the size of the sample (e.g. number of balls drawn)
• x is the number of sucess (e.g. drawing a white ball)
• is a binomial coeffecient