Consider the joint probability distribution: X 1 2 Y 0 1 0.70 0.00 0.00 0.30 a. Compute the marginal probability distributions for X and Y.b. Compute the covariance and correlation for X and Y.c. Compute the mean and variance for the linear function W = 3X + 4Y.
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Step 1
To compute the marginal probability distributions for X and Y, we need to sum the probabilities along the rows and columns. For X: P(X=1) = 0.70 + 0.00 = 0.70 P(X=2) = 0.00 + 0.30 = 0.30 For Y: P(Y=0) = 0.70 + 0.00 = 0.70 P(Y=1) = 0.00 + 0.30 = 0.30 b. To Show more…
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