What is the range of values of the random variable $Y = \frac{X - \min(X)}{\max(X)-\min(X)}$? Suppose $X$ is an arbitrary numeric random variable. Define the variable $Y$ as 
$$Y=\frac{X-\min(X)}{\max(X)-\min(X)}.$$ 
Then what is the range of values of $Y$?

If $X$ takes values over any finite (closed) interval, then the range of $Y$ is $[0,1]$.
