Given below is a bivariate distribution for the random variables and y. f(x,y) x 0.3 0.5 0.2 60 20 50 90 50 60 a. Compute the expected value and the variance for E(z) = E(y) = Var(z) = Var(y) = b. Develop a probability distribution for x +y and y 150 70 110 c. Using the result of part (b), compute E + y) and Var(x +y) Var(x + y) d. Compute the covariance and correlation for and y. If required, round your answers to two decimal places. Covariance Correlation