Question: Suppose we have a random variable X and define the following two random variables based on a linear function of X: Y = aX +

Suppose we have a random variable X and define the following two random variables based on a linear function of X: Y = aX + b and Z = aX + c. If a>0 and b does not equal c, which of the following is NOT true?

a) E(Y - b) = E(Z - c)

b) E(Y/a) = E(Z/a)

c) Var(Y) = Var(Z)

d) SD(Y) = SD(Z)

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