(X) and (Y) are independent random variables with (E(X)=E(Y)=5, operatorname{Var}(X)=operatorname{Var} Y)=9), and let (U=2 X+3 Y) and...

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\(X\) and \(Y\) are independent random variables with

\(E(X)=E(Y)=5, \operatorname{Var}(X)=\operatorname{Var} Y)=9\), and let \(U=2 X+3 Y\) and \(V=3 X-2 Y\).

Determine \(E(U), E(V), \operatorname{Var}(U), \operatorname{Var}(V), \operatorname{Cov}(U, V)\), and \(ho(U, V)\).

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