## Beta Type I Distribution Calculator

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

Beta Type I Distribution Calculator | |
---|---|

First Parameter $\alpha$: | |

Second 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 Beta Type I Distribution

A continuous random variable $X$ is said to have a beta type I distribution with parameter $\alpha$ and $\beta$ if its p.d.f. is given by

```
$$
\begin{aligned}
f(x)&=\frac{1}{B(\alpha,\beta)}x^{\alpha-1}(1-x)^{\beta-1}, 0<x<1; \alpha, \beta > 0.
\end{aligned}
$$
```