Question: 1. The discrete random variables $X$ and $y$ have joint distribution begin{tabular}{cccc) & $x=1$ & $x=2$ & $x=3$ hline$y=1$ & $3 / 12$ & $1

1. The discrete random variables $X$ and $y$ have joint distribution

1. The discrete random variables $X$ and $y$ have joint distribution \begin{tabular}{cccc) & $x=1$ & $x=2$ & $x=3$ \hline$y=1$ & $3 / 12$ & $1 / 12$ & $3 / 12$ $y=2$ & $1 / 12$ & $3 / 12$ & $1 / 12$ \end{tabular) (a) (4 points) Calculate $\operatorname(Cov}(X, Y)$. Show your work (b) ( 2 points) Are $X$ and $y$ independent? Prove your answer. SP.PB. 182

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