.. _variables-hypergeometric_uncertain-total_population:

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total_population
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Parameter for the hypergeometric probability distribution describing the size of the total population



.. toctree::
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   :maxdepth: 1



**Specification**

- *Alias:* None

- *Arguments:* INTEGERLIST


**Description**


The density function for the hypergeometric distribution is given by:

.. math:: 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)}

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)
- :math:`\left(\begin{array}{c}a\\b\end{array}\right)`  indicates a binomial coefficient ("a choose b")



