## Gamma Distribution Calculator

Use this calculator to find the probability density and cumulative probabilities for Gamma distribution with parameter $\alpha$ and $\beta$.

Gamma Distribution Calculator
Location Parameter $\alpha$:
Scale 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 Gamma Distribution

A continuous random variable $X$ is said to have a gamma distribution with parameter $\alpha$ and $\beta$ if its p.d.f. is given by $$f(x; \alpha,\beta) = \frac{1}{\beta^\alpha \Gamma(\alpha)} x^{\alpha-1}e^{-x/\beta}; x>0; \alpha, \beta>0$$