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Problem 4. (30 points). To cap off your post-vaccine fun, new that you are immune you and your best friend engage in a test-tubeeating contest at a Covid testing lab.2 Let X denote the number of test tubes you eat, and Y the number of test tubes your friend eats. The following table shows the joint PMF for X and Y, except for one missing value. (a (5) What is the missing value q? (b (6 (Cl (15) What is ley? (5) What is the probability that you eat more test tubes than your friend? (5) What is the expected number of test tubes you eat? ) ) ) )