For two independent random variables X & Y, Var (x ± y)=___________?
Correct answer: A. Var(X) + Var (Y)
- A. Var(X) + Var (Y)
- B. Var(X) - Var (Y)
- C. Var (X)±
- D. Zero
Explanation
For independent variables, the covariance is zero, so Var(X ± Y) = Var(X) + Var(Y). The sign does not change the result because the coefficient of Y is either 1 or -1, and both are squared.
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