Hypergeometric distribution chart

Calculates chart of an hypergeometric distribution.
n <= M
N <= M


Notations

• X : a random variable following an hypergeometric distribution: `X ~ N(M, n, N)`
• M : population size
• n : number of successes in population
• N : number of draws
• P(X = k) : probability to have exactly k successful draws
• `([n], [k])` : binomial coefficient n choose k

`([n], [k]) = (n!)/(k! * (n-k)!)`

Probability Mass Function (PMF)

`P(X = k) = (([n], [k]) * ([M-n], [N-k]))/(([M], [N]))`


See also

Hypergeometric distribution probabilities
Inverse hypergeometric distribution
Hypergeometric distribution Measures
Statistics Calculators