A Las Vegas roulette wheel contains 38 numbers: 1-36, plus 0 and 00. The numbers 0 and 00 are colored green. The odd numbers from 1-36 are colored red and the even numbers from 1-36 are colored black. One betting option is to bet on "black." If you bet a dollar on black and the roulette ball lands on black, you get your dollar back and the house pays you an additional dollar. If you bet a dollar on black and the ball lands on red or green, then you will lose your dollar. Let X be the random variable indicating the amount of money you will win if you bet $1 on black. Use positive numbers for money you win and negative numbers for money you lose.
(a) Compute the probability mass function for X.
(b) Compute the expected value E(X).
(c) Compute the variance V(X).