[English] 日本語 Binomial distribution Hypergeometric distribution Poisson distribution

Hypergeometric distribution probability distribution calculator

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

P(x=k) = KCk × N-KCn-k / NCn


k n-k P(x=k) P(x ≤ k)
060.1099920.109992
150.3045930.414584
240.3345900.749175
330.1864380.935613
420.0555200.991134
510.0083680.999502
604.981115 × 10-41.000000

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 = 1.19636363636

Calculated value : 1.19636363636