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