Suppose that random variables X and Y are such that E(X)=10, E(Y)=5, var;(X)=9, var;(Y)=16 and cov;(


Question: Suppose that random variables X and Y are such that \(E\left( X \right)=10\), \(E\left( Y \right)=5\), \(\operatorname{var}(X)=9\), \(\operatorname{var}\left( Y \right)=16\) and \(\operatorname{cov}\left( X,Y \right)=6\). Find the mean and variance of \(3X+2Y\)

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