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f(x, xY y) 2 50 80 .5 30 50 3 40 6 a. Compute the expected value and the variance for x and y E(x)

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f(x, xY y) 2 50 80 .5 30 50 3 40 6 a. Compute the expected value and the variance for x and y E(x) 37 E(y) Var(y)129 b. Develop a probability distribution for x y. Round your answers to one decimal place f(x + y) x ty 130 80 100 c. Using the result of part (b), compute E(x + y) and Var(x y) Var(x+ - y) d. Compute the covariance and correlation for x and y. If required, round your answers to two decimal places Covariance87 O Correlation- The random variables x and y are positively related ce of the sum of x and y is (biggerB0 as the sum of thendiu e. The variance of the sum of x and y is bigger Why? The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank

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