Continuous Uniform

Typically used for equally likely values on the interval [a, b]; flat priors.

Notation

$$U(a, b)$$

Range

$$a \le x \le b$$

Probability mass function p(x)

$$ \frac{1}{b - a} $$

Mean

$$\frac{a + b}{2}$$

Variance

$$\frac{(b - a)^2}{12}$$