Geometric Distribution Calculator

Probability of first success on the k-th trial

The probability of success on each independent trial (between 0 and 1).
The trial number on which the first success occurs. Must be >= 1.

Results

P(X = k) - Exactly on trial k
P(X <= k) - CDF (on or before k)
P(X > k) - After trial k
Expected Value E(X)
Variance Var(X)
Std Deviation

Probability Distribution (first 20 trials)

PMF: P(X=k) = (1-p)^(k-1) * p
CDF: P(X <= k) = 1 - (1-p)^k
E(X): 1/p, Var(X): (1-p)/p^2