The joint distribution of X and Y is given below. Find E[Y|X]. Given
$f_X(x) = egin{cases} x + \frac{1}{2}, & 0 < x < 1 \ 0, & \text{otherwise} \end{cases}$
The problem is:
$f(x, y) = egin{cases} x + y, & 0 < x < 1 \text{ and } 0 < y < 1 \ 0, & \text{otherwise} \end{cases}$