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Question 3 Let X and Y be random variables with means x = μy = 0 and standard deviations ox= 2 and oy = 10. Define the random variable Z = 2X+Y. If the covariance between X and Z is Cov(X, Z) = -4, then what is the variance Var(X-Y)?

Question 3 Let X and Y be random variables with means x = μy = 0 and standard deviations ox= 2 and oy = 10. Define the random variable Z = 2X+Y. If the covariance between X and Z is Cov(X, Z) = -4, then what is the variance Var(X-Y)?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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Question 3 Let X and Y be random variables with means x = μy = 0 and standard deviations ox = 2 and oy = 10. Define the random variable Z = 2X + Y. If the covariance between X and Z is Cov(X, Z) = −4, then what is the variance Var(X - Y)? A. 128 B. 86 C. 116 D. 99 E. 22
Transcribed Image Text:Question 3 Let X and Y be random variables with means x = μy = 0 and standard deviations ox = 2 and oy = 10. Define the random variable Z = 2X + Y. If the covariance between X and Z is Cov(X, Z) = −4, then what is the variance Var(X - Y)? A. 128 B. 86 C. 116 D. 99 E. 22
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