An additional qualication {AQ} course was offered at three\" Faculties Among 50G students, 169 students took the AQ. course at the Faculty of Education (E), 290 students at the Faculty of Science (S), and the rest of the students at the Faculty of Health (H). The students from the Faculty of Education {E}, and the Faculty of Science (S), who failed (F) the AQ. course, was 39%, and 31% respectively. The percentage of students from the Faculty of Health (H) and who failed (F) the HQ. course, was 2.5%. a} |One student is selected randomly among those who took the AQ. course. \"Hist is the probability that the selected student failed the AQ. course? b} If the selected student passed {P} the AQ. course, what is the probability that the student took the AQ. course at the Faculty of' Science {S}? c) Are \"Faculty of Education" and \"failed\" independent events? Your answer must include supporting probability calculations. d} What is the probability that the student took the AQ. course at the Faculty of Education or failed the AQ. course? Let's assume the events Faculty of Education and failed didn't occur at the same time