The random variables (U) and (V) are uncorrelated and have mean value 0 . Their variances are

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The random variables \(U\) and \(V\) are uncorrelated and have mean value 0 . Their variances are 4 and 9 , respectively.

Determine the correlation coefficient \(ho(X, Y)\) between the random variables

\[X=2 U+3 V \text { and } Y=U-2 V\]

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