Question: Let X and Y be random variables. Say whether each of the following statements is true or false, in general. a. Var(X + Y) =

Let X and Y be random variables. Say whether each of the following statements is true or false, in general.

a. Var(X + Y) = Var(X) + Var(Y) always.

b. Var(X + Y) = Var(X) + Var(Y) if X and Y have the same distribution.

c. Var(X +Y) = Var(X)+ Var(Y) if X and Y are independent.

d. Var(5X + 3) = 25Var(X).

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