total_population
Parameter for the hypergeometric probability distribution describing the size of the total population
Specification
Alias: None
Arguments: INTEGERLIST
Description
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”)
