Here's the question
Let X and Y be independent random variables, where X is uniformly distributed over (2,4) and Y is exponentially distributed with mean 3. Find the density of U=X/Y
Here's what I got: (3/2)e^(-u/3)
I tried doing the PDF of both of them and divide them subbing in U for Y and it seems that's not the way to do it. I asked my professor for help and he told me that "I was on the right track and to keep thinking about it like that." However, I am at a complete loss as to what exactly I'm suppose to do.
Can anyone help me out with this one?