# Inverse uniform distribution

This tool calculates the Inverse of uniform Cumulative Distribution Function.

## Inverse Beta Distribution formulas

X : a random variable following a uniform distribution

m : lower bound or minimum value of X

M : upper bound or maximum value of X

The inverse of the cumulative distribution function F(x) is also called the 'quantile function', denoted Q(x). We have,

`F(x) = 0` if `x < m`

`F(x) = (x-m)/(M-m)` if `m<=x<=M`

`F(x) = 1` if `x > M`

which inverse function is,

`Q(x) = F^(-1)(x) = m + x*(M-m)` with `0 < x < 1`

## See also

Uniform distribution Probabilities

Statistics Calculators