# 3.5.3.1.13 Hygecdf

## Definition:

prob = hygecdf(k, m, n, l) computes the lower tail probabilities in given value , associated with a hypergeometric distribution

The lower tailed probability:

$P(X\leq k)=\sum_{i=0}^kP(X=i)=\sum_{i=0}^k\frac {{m \choose i}{n-m \choose l-i} }{{n \choose l} }$

where

• $n$: The population size
• $m$: The number of success states in the population
• $l$: The number of samples drawn

## Parameters:

$k$ (input, int)
the integer k which defines the required probabilities.
$m$ (input, int)
the parameter m of the hypergeometric distribution.
$n$ (input, int)
the parameter n of the hypergeometric distribution.
$l$ (input, int)
the parameter l of the hypergeometric distribution.
$prob$ (output,double)
the probability.