Assignment 4 Due Nov 20 4. An American roulette wheel contains 38 numbers: 18 are red, 18 are black, and 2 are green. When the roulette wheel is Spun, the ball is equally likely to land on any of the 38 numbers. If the ball lands on a black number, the player wins $8; otherwise, the player wins $3. The player pays $6 to play each game. Let X be the amount the player gains or loses per game. (Hint: use a negative number for X to represent a loss.) 3) Construct the probability distribution for the random variable X. [3 marks] b) Calculate the expected value of the random variable X and interpret its value in the context of the question. [3 marks]