Which of the following statements are true a If a constance

Which of the following statements are true:

a) If a constance c is added to each posisble value of a discrete random variable X, then the variance of X will be shifted by that same constant amount.

b) For any discrete random variable X and constants a and b, V(aX +b) = (a+b)² V(X)

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

d) If a constance c is added to each posisble value of a discrete random variable X, then the expected value of X will be shifted by that same constant amount.

Solution

d) If a constance c is added to each posisble value of a discrete random variable X, then the expected value of X will be shifted by that same constant amount.

that is the correct true statemant