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Beta distribution

defined on the interval [0, 1] or [0, 1] in terms of two positive parameters, denoted by alpha $α$ and beta $β$

$\alpha$
$\beta$
$$ f(x) = \frac{x^{\alpha-1}(1-x)^{\beta-1}}{\text{B}(\alpha, \beta)} \\[20pt] \text{where $\text{B}(\alpha, \beta)=\frac{\Gamma(\alpha)\Gamma(\beta)}{\Gamma(\alpha+\beta)}$ and $\Gamma$ is the Gamma function.} \\ $$