I am given following joint pdf:
$$ f(x,y)=\frac{2}{3}(x+2y) $$ $$0\leq x \leq1, 0\leq y \leq1 $$
Now I need to find the $P[X\leq0.5,Y\leq0.8]$.
My question is that will I double integrate the expression from 0 till respective limits like this:
$$ \int_{0}^{0.8}\int_{0}^{0.5} \frac{2}{3}(x+2y) \,dx\,dy $$