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Which of the following is equal to Cov (X + Y, 2X – Y), where X and Y are random variables on a sample space S ? (a) 2Var (X) – Cou (X, Y) – Var (Y) (b) 2Var (X²) + Cou (X, Y) – Var (Y²) (c) 2Var (X) – Cov (X, Y) + Var (Y) (d) 2Var (X) + Cov (X, Y) – Var (Y) - (e) None of the above

Which of the following is equal to Cov (X + Y, 2X – Y), where X and Y are random variables on a sample space S ? (a) 2Var (X) – Cou (X, Y) – Var (Y) (b) 2Var (X²) + Cou (X, Y) – Var (Y²) (c) 2Var (X) – Cov (X, Y) + Var (Y) (d) 2Var (X) + Cov (X, Y) – Var (Y) - (e) None of the above

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Which of the following is equal to Cov (X + Y, 2X – Y), where X and Y are random variables on a sample space S ? (a) 2Var (X) – Cou (X, Y) – Var (Y) (b) 2Var (X2) + Cov (X, Y) – Var (Y2) (c) 2Var (X) – Cov (X, Y) + Var (Y) (d) 2Var (X) + Cov (X, Y) – Var (Y) (e) None of the above
Transcribed Image Text:Which of the following is equal to Cov (X + Y, 2X – Y), where X and Y are random variables on a sample space S ? (a) 2Var (X) – Cou (X, Y) – Var (Y) (b) 2Var (X2) + Cov (X, Y) – Var (Y2) (c) 2Var (X) – Cov (X, Y) + Var (Y) (d) 2Var (X) + Cov (X, Y) – Var (Y) (e) None of the above
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