Distribution parameter for the hypergeometric distribution describing the number of draws from a combined population


  • Alias: None

  • Arguments: INTEGERLIST


The density function for the hypergeometric distribution is given by:

\[\begin{split}f(x) = \frac{\left(\begin{array}{c}m\\x\end{array}\right)\left(\begin{array}{c}{N-m}\\{n-x}\end{array}\right)}{\left(\begin{array}{c}N\\n\end{array}\right)}\end{split}\]

where the three distribution parameters are:

  • N is the total population

  • 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 drawn (e.g. number of balls drawn)

In addition,

  • x, the abscissa of the density function, indicates the number of successes (e.g. drawing a white ball)

  • \(\left(\begin{array}{c}a\\b\end{array}\right)\) indicates a binomial coefficient (“a choose b”)