(3) Suppose that the joint distribution for $X$ and $Y$ is given by the joint probability...

  

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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} {c|c|c|c} $Y \backslash X$ & 0 & 4 & 6 \\ \hline 1 & $.1$ & $.15$ & $.25$ \\ \hline 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 (3) Suppose that the joint distribution for $X$ and $Y$ is given by the joint probability mass function shown below: \begin{tabular} {c|c|c|c} $Y \backslash X$ & 0 & 4 & 6 \\ \hline 1 & $.1$ & $.15$ & $.25$ \\ \hline 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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To calculate the covariance of X and Y we first need to find the expected values of X and Y The expe... View the full answer