## Gamma Distribution Calculator

Use this calculator to find the probability density and cumulative probabilities for Gamma distribution with parameter $\alpha$ and $\beta$.

Gamma Distribution Calculator | |
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Location Parameter $\alpha$: | |

Scale Parameter $\beta$ | |

Value of x | |

Results | |

Probability density : f(x) | |

Probability X less than x: P(X < x) | |

Probability X greater than x: P(X > x) | |

## Definition of Gamma Distribution

A continuous random variable $X$ is said to have a gamma distribution with parameter $\alpha$ and $\beta$ if its p.d.f. is given by $$f(x; \alpha,\beta) = \frac{1}{\beta^\alpha \Gamma(\alpha)} x^{\alpha-1}e^{-x/\beta}; x>0; \alpha, \beta>0$$