4, ELY Suppose X and Y are two random variables with E[X] = 1, Var (X) Var (Y) = 4, and Cov (X, Y) = 1. Find the standard deviation of (X - Y). (a) 2 (b) √2 (c) 6 (d) √6 (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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Suppose X and Y are two random variables with E[X] = 1, Var (X) = 4, E[Y ] = -1,
Var (Y)
4, and Cov (X, Y) = 1. Find the standard deviation of (X - Y).
=
(a) 2
(b) √2
(c) 6
(d) √6
(e) None of the above
Transcribed Image Text:Suppose X and Y are two random variables with E[X] = 1, Var (X) = 4, E[Y ] = -1, Var (Y) 4, and Cov (X, Y) = 1. Find the standard deviation of (X - Y). = (a) 2 (b) √2 (c) 6 (d) √6 (e) None of the above
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