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)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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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