Given below is a bivariate distribution for the random variables x and y . f ( x , y ) x y .2 50 80 .5 30 50 .3 40 60 a. Compute the expected value and the variance for x and y . b. Develop a probability distribution for x + y . c. Using the result of part (b), compute E ( x + y ) and Var ( x + y ). d. Compute the covariance and correlation for x and y . Are x and y positively related, negatively related, or unrelated? e. Is the variance of the sum of x and y bigger, smaller, or the same as the sum of the individual variances? Why?

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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Chapter 5.4, Problem 25E
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