I came across the following question:
I tried solving it, the following is my attempt:
$$ P[W\le w] = P[XY\le w] = P[Y\le w/X] $$
And then I simply double integrated keeping the limits of X on the outer integral and between 0 and 1, and that of Y between 0 and $w/x$. But the answer is wrong 'cause finally I ended up calculating $$[w*ln(x)]$$ between 0 and 1.
- Why is my answer wrong?
- What I'm not able to understand is that the plot given should be a 3D plot, how can it be represented in a 2D plane?