Ononot — Let X and Y be two random variables representing scores on t

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Descriptive Statisticshard

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Let $X$ and $Y$ be two random variables representing scores on two sections of an exam, with variances $Var(X) = 16$ and $Var(Y) = 25$ . If the correlation coefficient between the two sections is $r = -0.5$ , what is the variance of the total weighted score $T = 2X + 3Y$ ?