Homework Answers
Ans. V(Y) = V(X1) + V(X2) + V(X3)
Reason: Y = X1 + X2 + X3
Var(Y) = Var(X1) + Var(X2) + Var(X3) + 2Cov(X1,X2) + 2 Cov(X2, X3) + 2 Cov(X3, X1)
Now , since X1, X2 , X3 are independent then ,
Cov(X1,X2) = Cov(X2,X3) = Cov(X3,X1) = 0
Thus, V(Y) = V(X1) + V(X2) + V(X3)
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