### 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

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

## Mean of Beta Type I Distribution

The mean of beta type I distribution is

### $E(X) = \dfrac{\alpha}{\alpha+\beta}$.

## Variance of Beta Type I Distribution

The variance of beta type I distribution is