A university has 1,000 undergraduate business students. This semester, 200 of them are enrolled in an introductory business analytics course. Of these 200 students, 50 are also enrolled in an introductory accounting course. 1) If a business student is selected at random, what is the probability that the student in enrolled in both the analytics and accounting courses?
2) If a business student is selected at random, what is the probability that the student is either enrolled in accounting or statistics, but not both?
3) Given the same problem shown above, if a business student is selected at random, what is the probability that the student is enrolled in accounting?
4) Given the same problem shown above, if a business student is selected at random and found to be enrolled in statistics, what is the probability that the student is also enrolled in accounting?
5) Given the same problem shown above, if a business student is selected at random, what is the probability that the student is enrolled in neither accounting nor statistics?
6) Given the same problem shown above, if a business student is selected at random, what is the probability that the student is not enrolled in statistics?