# 3.5.3.2.1 Betapdf

## Definition:

bp = betapdf( x, a, b) returns the probability density function of the beta distribution with parameters $a$ and $b$.

$f(B:a,b)=\frac{\Gamma (a+b)}{\Gamma (a)\Gamma (b)}B^{a-1}(1-B)^{b-1}$ $0\leq B\leq 1;a,b>0$

## Parameters:

x (input, double)
The value of the beta variate. $0.0 \le x \le 1.0$
a (input, double)
The first shape parameter, $a$, of the required beta distribution, . $0.0
b(input, double)
The second shape parameter, $b$, of the required beta distribution, . $0.0
bp (output, double)
The probability.