b) The joint probability function for the random variables X and Y is given in Table below. Find a) the marginal probability function of X and Y. P(Y/X) and P(X/Y). c) P(X ≥ 2, Y ≤ 2) y 1 2 3 10.05 0.05 0.1 P(X, Y) = X 20.05 0.1 0.35 3 0 0.2 0.1

compute the correlation coefficient State the hypothesis Determine the regression line equation Plot the regression line on the scatterplot Summarize the results

1. Two gaussian random variables: X₁ and X2 are linearly tra into new variables: Y, and Y2, as given below. Y₁ = 7X₁-5X2 Y2₂ = 2Y₁ +9X2 2 = If X and X2have zero means and variances: ox,216 and ox₂ 9. The cross-covariance between X, and X2is 4. Find the means, variances of Y, and Y2. Compute the cross-covariance between Y₁ and Y2.

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