Which of the following is equal to Cov (X+ Y, 2X +Y), where X and Y S ? are random variables on a sample space

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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) Var (X) – 3Cov (X,Y) + Var (Y)
(b) 2Var (X) – 3Cov (X,Y) + Var (Y)
(c) 2Var (X) + 3Cov (X,Y) + Var (Y)
(d) 2Var (X²) +3Cov (X, Y) + Var (Y²)
(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) Var (X) – 3Cov (X,Y) + Var (Y) (b) 2Var (X) – 3Cov (X,Y) + Var (Y) (c) 2Var (X) + 3Cov (X,Y) + Var (Y) (d) 2Var (X²) +3Cov (X, Y) + Var (Y²) (e) None of the above
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