2.9 Passing EIT Exam. Past statistics indicate that (i) among the 400 students who had passed this course and later took the EIT exam 360 passed the exam and (ii) among the 50 students who had not passed (failed or not taken) this course and later took the EIT exam 5 passed the exam. This year 50 students will take the EIT exam and 40 of them have passed this course. (a) What is the probability that a student who has passed this course will pass the EIT exam? What is the probability that a student who has not passed this course will pass the EIT exam? What is the probability that this year a student has passed this course? (b) Find the expected number of students who will pass the EIT exam this year. (c) For a student who will pass the EIT exam this year, what is the probability that he has passed this course? What is the expected number of such students if 40 students will pass the EIT exam this year? (d) What is the probability that at most 48 students will pass the EIT exam this year