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(3) Suppose that the joint distribution for $X$ and $y$ is given by the joint probability mass function shown below: begin{tabular}{cccc} $Y backslash X$ &

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(3) Suppose that the joint distribution for $X$ and $y$ is given by the joint probability mass function shown below: \begin{tabular}{cccc} $Y \backslash X$ & 0& 4 & 6 W Thline 1 & $.1$ & $.15$ & $.25$ Thline 3 & $.3$ & 0 & $.2$ \end{tabular) (a) Calculate the covariance of $X$ and $y$. (b) Calculate $\operatorname {Var} (x)$ and $\operatorname[Var} (Y)$. (c) Calculate $ ho (X, Y)$. 1 S.P.PB. 209

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