could you show me the steps ? thank you

Problem 3. Discrete random variables X and Y have the following joint probability distribution: (a) Compute the correlation coefficient pxy. (b) Compute the probability P(Y 2 2, X = 0). (c) Compute the probability P(Y 2 2|X = 0). (d) If this is a game and you win $(100X + 10Y2) each time you play this game. What is the\f