The Beta distribution is defined for 0≤x≤1 by the integral
The probability density function for the beta distribution is
Evaluate Numerically
BetaDist
.5;2, 3
= .6875
BetaDen
.5;2, 3
= 1.5
The following plots show cumulative distribution functions
BetaDist
x;b, c
and probability density functions
BetaDen(x;b, c) for
(b, c) =
2, 3
,
5, 1
,
3, 8
, and
0≤x≤1.