Beta Distribution Calculators

Beta Distribution Calculator

For shape parameters $α$ and $β$ (both > 0), the Beta distribution is defined on the interval $[0, 1]$ with the PDF:

$f (x; α, β) = \frac{x^{α - 1} (1 - x)^{β - 1}}{B (α, β)}, 0 \leq x \leq 1,$

where $B (α, β) = \frac{Γ (α) Γ (β)}{Γ (α + β)}$ .

Step 1: Enter Parameters

α

Enter a positive value (e.g., 2)

β

Enter a positive value (e.g., 5)

x

(in [0,1]):

Enter a value between 0 and 1 (e.g., 0.4)