Beta Distribution Calculator

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

$$ f(x;\alpha,\beta) = \frac{x^{\alpha-1}(1-x)^{\beta-1}}{B(\alpha,\beta)}, \quad 0 \le x \le 1, $$

where $ B(\alpha,\beta)=\frac{\Gamma(\alpha)\Gamma(\beta)}{\Gamma(\alpha+\beta)} $.

Step 1: Enter Parameters

$ \alpha $:

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

$ \beta $:

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

$ x $ (in [0,1]):

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

Beta Distribution Calculator