[10pt] Question 5. In the last semester, an instructor taught three sections of a PASS/FAIL course. The section A consisted of 40 students, the section B consisted of 50 students, and the section C consisted of 60 students. After the final exam, 95% of the students who were in the section A and 90% of the students who were in the section B passed the course, respectively while only 80% of the students who were in the section C passed the course. a. What is the probability that a randomly selected student passed the course? b. What is the probability that a randomly selected student failed the course? c. If a randomly selected student passed the course, what is the probability that the student was in the section C? d. If a randomly selected student failed the course, what is the probability that the student was in the section C