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Consider the joint probability distribution below. Complete parts (a) through (c). X 1 2 - O 0.40 0.15 0.20 0.25 a. Compute the marginal probability

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Consider the joint probability distribution below. Complete parts (a) through (c). X 1 2 - O 0.40 0.15 0.20 0.25 a. Compute the marginal probability distributions for X and Y. X 1 2 P(y) Y - O 0.40 0.15 .55 0.20 0.25 .45 P(x) .6 .4 (Type integers or decimals.) b. Compute the covariance and correlation for X and Y. Cov(X, Y) = (Round to four decimal places as needed.) Corr(X, Y) = (Round to three decimal places as needed.) c. Compute the mean and variance for the linear function W = X + Y. Hw (Round to two decimal places as needed.)

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