## Geometric Distribution Calculator

Geometric distribution calculator is used to find the probability and cumulative probabilities for geometric random variable given the probability of success ($p$).

Geometric Distribution Calculator
Probability of success (p):
No. of failure before first success (x):
Result
Probability : P(X = x)
Cumulative Probability : P(X ≤ x)
Cumulative Probability : P(X < x)
Cumulative Probability : P(X ≥ x)
Cumulative Probability : P(X > x)

## Geometric Distribution

A discrete random variable $X$ is said to have Geometric distribution with parameter $p$ if its probability mass function is

\begin{aligned} P(X=x)& = p(1-p)^x, &\hbox{x=0,1,2,\cdots;0<p<1} \end{aligned}

where

• $p$ probability of success.