3. Suppose E[X] = (78)/(36), E[Y] = (78)/(36), E[X^2] = (192)/(36), E[Y^2] = (192)/(36), E[XY] =

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3. Suppose $E[X] = \frac{78}{36}$, $E[Y] = \frac{78}{36}$, $E[X^2] = \frac{192}{36}$, $E[Y^2] = \frac{192}{36}$, $E[XY] = \frac{168}{36}$ \\ Find (a) $\sigma_{X,Y} = Cov(X, Y) = ?$ \\ (b) $\rho_{X,Y} = Corr(X, Y) = ?$ \\ (c) based on the above results, what the association between X and Y?