## Weibull Distribution Calculator

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

Weibull Distribution Calculator | |
---|---|

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 Weibull Distribution

The pdf of two parameter Weibull distribution with parameters $\alpha$ and $\beta$ is given by

```
$$
\begin{aligned}
f(x)&=\frac{\alpha}{\beta} \big(\frac{x}{\beta}\big)^{\alpha-1}e^{-\big(\frac{x}{\beta}\big)^\alpha},\\
&\qquad x>0, \alpha, \beta>0
\end{aligned}
$$
```