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Poisson distribution probability distribution calculator

Enter λ. Click "run" button.

P(x=k) = λk × e / k!


k P(x=k) P(x ≤ k)
00.2231300.223130
10.3346950.557825
20.2510210.808847
30.1255110.934358
40.0470670.981424
50.0141200.995544
60.0035300.999074
77.564262 × 10-40.999830
81.418299 × 10-40.999972
92.363832 × 10-50.999996
103.545748 × 10-60.999999
114.835111 × 10-71.000000
126.043888 × 10-81.000000
136.973717 × 10-91.000000

Verify

Expected value

Theoretical value : λ = 1.5

Calculated value : 1.4999999882951

分散

Theoretical value : λ = 1.5

Calculated value : 1.4999998679984