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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 84CR
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Which of the following ?

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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