Var(2X+3) is________________?
Correct answer: B. 4 Var(X)
- A. 5 Var(X)
- B. 4 Var(X)
- C. 4 Var(X)+3
- D. 5 Var(X)+3
Explanation
Variance is affected by the square of a multiplier but not by an added constant: Var(aX+b)=a²Var(X). Therefore Var(2X+3)=4Var(X).
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