Given below is a bivariate distribution for the random variables and y. f(x, y) x Y 0.2 0000 0.4 50 20 0.4 50 a. Compute the expected value and the variance for x and y. E(x) = E(y) = Var(x) = Var(y) = b. Develop a probability distribution for x + y (to 2 decimals). x + y f(x + y) 130 60 110 c. Using the result of part (b), compute E(x + y) and Var(x + y) . E(x + y) = 80 40 60

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