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Random Variableshard
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Suppose XXX and YYY are independent random variables with E[X]=1,Var(X)=2E[X]=1, Var(X)=2E[X]=1,Var(X)=2 and E[Y]=2,Var(Y)=3E[Y]=2, Var(Y)=3E[Y]=2,Var(Y)=3. Define S=X−YS = X - YS=X−Y and P=XYP = XYP=XY. What is Var(P)Var(P)Var(P)?