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