If a random variable X is defined as X =

{2 if heads on first toss

{-1 if tails on first toss

and I want to find the mean of 2X, how do I go about doing this?

Is it 2(2)(1/2) + 2(-1)(1/2)?

Also, I know this mean won't be negative, but is it possible to have a negative mean from a random variable?