(A) E[X/Y] + E[Y]
(B) E[Y/X] + E[X]
(C) Var(X) + Var(Y) + 2 Cov(X, Y)
(D) Var(X) + Var(Y) – 2 Cov(X, Y)
The answer is: (C) Var(X) + Var(Y) + 2 Cov(X, Y)
Explanation
By definition, Var (X + Y) = Var(X) + Var(Y) + 2 Cov(X, Y)
(A) E[X/Y] + E[Y]
(B) E[Y/X] + E[X]
(C) Var(X) + Var(Y) + 2 Cov(X, Y)
(D) Var(X) + Var(Y) – 2 Cov(X, Y)
The answer is: (C) Var(X) + Var(Y) + 2 Cov(X, Y)
Explanation
By definition, Var (X + Y) = Var(X) + Var(Y) + 2 Cov(X, Y)