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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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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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