Suppose that X∼ Uniform(a,b) and Y~ Uniform(c,d).
Let Z =Y/X, I'm finding PDF Pr(Z$\leq$z).
I took the region for integration as $ \frac{c}{a} \leq z \leq \frac{d}{a}$ ; $ \frac{d}{b} \leq z \leq \frac{c}{a}$ ; $ \frac{c}{b} \leq z \leq \frac{d}{b}$. For many situations this region of integration seems wrong.
Why this region of integration is wrong?