2. Consider a discrete random variable X that represents the outcome of a simple game. In this game, a six-sided fair die is rolled. Depending on the outcome, points are awarded as follows: If the die shows 1 or 2, then X = 0 points. . If the die shows 3 or 4, then X = 1 point. If the die shows 5, then X = 2 points. If the die shows 6, then X = 3 points. (a) Define the probability mass function (PMF) of X. (b) What is the probability P(X = 1)? (c) Calculate the probability P(X > 1). (d) Given that X > 0, what is the conditional probability that X = 2?