StatsCalculator

Poisson Distribution Calculator

P(X = k) events when events occur at average rate λ.

Parameters

Result

P(X = k)
0.1954
P(X ≤ k)
0.6288
P(X ≥ k)
0.5665
Mean / Variance
4 / 4

Probability mass

P(X=0) = 0.01832P(X=1) = 0.07326P(X=2) = 0.1465P(X=3) = 0.1954P(X=4) = 0.1954P(X=5) = 0.1563P(X=6) = 0.1042P(X=7) = 0.05954P(X=8) = 0.02977P(X=9) = 0.01323P(X=10) = 0.005292P(X=11) = 0.001925P(X=12) = 0.0006415P(X=13) = 0.0001974P(X=14) = 0.00005640P(X=15) = 0.00001504P(X=16) = 0.000003760P(X=17) = 8.847e-7017