Which of the following statements are true? A: For any discrete random variable

Question

Which of the following statements are true?

A: For any discrete random variable X and constant a and b, V(aX = b) = (a+b)^2 V(X)

B: If a constant C is added to each possible value of a discrete random variable X, then the expected value of X will be shifted by the same constant amount.

C: If a constant C is added to each possible value of a discrete random variable X, the the variance of X will be shifted by that same constant amount>

D: For any discrete random variable X and constants a and b, E(aX + b) = (a+b)E(X)

Explanation / Answer

Only (B) is true. Rest are false.

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