You are given two random variables X and Y. E(X) = 0.5, Var(X) = 2 E(Y) = 7, Var(Y) = 3.5 cov (X, Y) = -0.8 Find the variance of the random variable Z = 2X - 3Y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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You are given two random variables X and Y.
E(X) = 0.5, Var(X) = 2
E(Y) = 7, Var(Y) = 3.5
cov (X, Y) = -0.8
Find the variance of the random variable Z = 2X - 3Y

 

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