## 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.