You're given a free play at a game where you pull a marble from a bag. The bag has 2 black marbles, 4 blue marbles, 5 green marbles, 10 yellow marbles and 20 red marbles. You win money depending on what color marble you pull: black = $50, blue = $10, green = $5, yellow = $1, and red = $0. Let X = how much you win when you play. A. Construct the Probability Distribution for X. Leave your probabilities as fractions. B. Verify that your probability distribution is valid. Show your calculation and explain your reasoning. C. Calculated the Expected Value of X. Round your answer to the nearest cent