Beta Distribution Calculator

Beta density and moments for0<x<1.

Beta density and moments for0<x<1.

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Result

Enter your values and run the tool to see your result.

How to use this tool

Check the units, enter your values, and run the tool. Results follow the assumptions and method below.

Calculation method

Probability densitygamma(a+b)/(gamma(a)*gamma(b))*x^(a-1)*(1-x)^(b-1)
Meana/(a+b)
Variancea*b/((a+b)^2*(a+b+1))

References