Random Variablesmedium
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Let XX and YY be two random variables with E[X]=0,E[Y]=0,Var(X)=1,Var(Y)=1,E[X] = 0, E[Y] = 0, Var(X) = 1, Var(Y) = 1, and correlation ρ=0.5\rho = 0.5. Define Z=aX+bYZ = aX + bY. What is the value of Var(Z)Var(Z) in terms of aa and bb?