Let XXX and YYY have joint PDF f(x,y)=12xy2f(x, y) = 12xy^2f(x,y)=12xy2 on 0≤x,y≤10 \le x, y \le 10≤x,y≤1. What is the conditional expectation E[X∣Y=y]E[X | Y = y]E[X∣Y=y]?
yyy
1/21/21/2
2/32/32/3
3/43/43/4