Let random variable $X \thicksim U(-2,3)$ where $U$ denotes uniform distribution. Then I'd like to derive the probability density function of $Y = X^2$
but this case not like strictly increasing or decreasing case, for example for X=3, there exists two different variable $Y$ such as $Y = \sqrt 3$ and $-\sqrt 3$
Then do I have to just allocate $1/2 \cdot 1/5$ for each case?
I've never thought of it is possible to derive pdf from not inverse mapping exisiting condition.
Any help to understand this case?