Consider admission offices of 4 faculties. The table show the number of the students who did not write the admission exam, passed the exam and did not pass the exam. Faculty # 2 3 4 Students did not write the exam 198 271 241 238 Students passed the exam 1277 1578 679 1014 Students did not pass the exam | 3820 5323 4828 3193 Suppose that four application files are randomly selected with replacement from the total for faculty 1. a) What is the probability that exactly one file is of a student who did not write the admission exam. b) What is the probability that two or more are of students who did not write the admission exam. c) What is the probability that at least one is of students who did not write the admission exam. Assume that the application files are reviewed for two students selected randomly without replacement (d) What is the probability that the second file is of student who did not write the exam given that the first file selected is of another student who did not write the exam? (e) What is the probability that both files are od students who did not write the exam from faculty 4