Getting the cumulative distribution function for $\sqrt{X}$ from the cumulative distribution function for $X$ I've a data set $X$ which consists of randomly generated numbers.
My aim is to plot the cumulative distribution function for square root of $X$ without generating data set for square root of $X$. I'm using Mathematica tool.
I'm confused and could not think of a solution.
Can somebody let me know how to take the approach here ?

Hint:
$$ cdf_{\sqrt X}(x) =  P(\sqrt X \le x) = P(X \le x^2) = cdf_X(x^2)
$$
