[English] 日本語 Binomial distribution Hypergeometric distribution Poisson distribution

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Hypergeometric distribution probability distribution calculator

Enter N, K and n. Click "run" button.

P(x=k) = _KC_k × _N-KC_n-k / _NC_n

N =

K =

n =

Run

k	n-k	P(x=k)	P(x ≤ k)
0	6	0.109992	0.109992
1	5	0.304593	0.414584
2	4	0.334590	0.749175
3	3	0.186438	0.935613
4	2	0.055520	0.991134
5	1	0.008368	0.999502
6	0	4.981115 × 10-4	1.000000

Verify

Expected value

Theoretical value : n × K/N = 1.8

Calculated value : 1.8

Variance

Theoretical value : (N-n)/(N-1) × n × K/N × (N-K)/N = 1.1963636363636

Calculated value : 1.1963636363636