# Inverse uniform distribution

This tool calculates the Inverse of uniform Cumulative Distribution Function. M > m

## 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
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