2. The discrete random variables $X$ and $y$ have joint distribution \begin{tabular}{cccc} & $x=1$ & $x=2$ & $x=3$ Thline$y=1$ & $2 / 12$ & $3 / 12$ & $1 / 12$ $y=2$ & $2 / 12$ & $1 / 12$ & $3 / 12$ \end{tabular) (a) (3 points) Calculate $E(Y \mid X=1), ECY \mid X=2)$, and $E(Y \mid X=3) $. (b) (2 points) Do your answers in part (a) indicate that $X$ and $y$ are related. Give reasons for your answer. SP.PB. 188