Suppose that X is a random variable where E(X)=4 and Var(X)=8. What are the expected values and variances for each of the following expressions?

a) Y=X-4 (for your own understanding draw out what happens to the X distribution when you subtract 4, a before and after picture, not graded)

b) Y=6X ((for your own understanding draw out what happens to the X distribution when you multiply it by 6, a before and after picture, not graded)

c) Y=X/6