Exercise 5. A student observes that out of all students graduating with rst class degrees in Computer Science (CS) from Queen Mary, 96% of them passed the midteim test in Probability & Matrices (P&M). She claims that since she has just passed the test, she has a very good chance of getting a rst. a) Briey explain whether the student's argument has any basis from a probabilistic point of View. b) Assume that 80% of students pass the P&M midterm test and 20% of CS students get a rst class degree. What is the probability that a randomly chosen CS student who has passed the test gets a first class degree