In probability theory and statistics, the continuous uniform distribution is a family of probability distributions such that for each member of the family, all intervals of the same length on the distribution’s support are equally probable. The support is defined by the two parameters, a and b, which are its minimum and maximum values.

The probability density function of the continuous uniform distribution is:

f(x,a,b) =   

1/(b-a) for a⇐x⇐b   

0 otherwise

support a ⇐ x ⇐ b