StatsCalculator

Negative Binomial Distribution Calculator

Number of failures k before the r-th success (probability p).

Parameters

Result

P(X = k)
0.1244
P(X ≤ k)
0.5801
P(X ≥ k)
0.5443
Mean / Variance
4.5 / 11.25

Probability mass

P(X=0) = 0.06400P(X=1) = 0.1152P(X=2) = 0.1382P(X=3) = 0.1382P(X=4) = 0.1244P(X=5) = 0.1045P(X=6) = 0.08361P(X=7) = 0.06450P(X=8) = 0.04837P(X=9) = 0.03547P(X=10) = 0.02554P(X=11) = 0.01811P(X=12) = 0.01268P(X=13) = 0.008777P(X=14) = 0.006018P(X=15) = 0.004092P(X=16) = 0.002762P(X=17) = 0.001852P(X=18) = 0.001235P(X=19) = 0.0008190P(X=20) = 0.0005405P(X=21) = 0.0003552P(X=22) = 0.0002325P(X=23) = 0.0001516023