Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 5.4, Problem 25E

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
  1. a. Compute the expected value and the variance for x and y.
  2. b. Develop a probability distribution for x + y.
  3. c. Using the result of part (b), compute E(x + y) and Var (x + y).
  4. d. Compute the covariance and correlation for x and y. Are x and y positively related, negatively related, or unrelated?
  5. e. Is the variance of the sum of x and y bigger, smaller, or the same as the sum of the individual variances? Why?
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Chapter 5 Solutions

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

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