Problem: Suppose we throw two fair dice. Let A be a random variable representing their sum. What is the PMF of X?
Problem 2: Using the same random variable, what is Var(X)?
Problem 3: Suppose we also flip a coin 5 times. Let Y be a random variable representing the number of occurrences of tails. What is Corr(3X, 2Y) where X is the random variable from problem 1?