In: Statistics and Probability
At a college hot dog eating contest, you noticed some interesting facts about the participants. 60% of the eaters were students and 40% were faculty. Furthermore, among the student eaters, 70% were men and the rest were women. On the other hand, among the faculty eaters, 60% were women and the rest were men.
A) What is the probability that a randomly selected participant was a woman?
B) What is the probability that a randomly selected participant was a man and a faculty member?
C) What is the probability that a randomly selected participant was a man or a student?
D) Given a randomly selected participant was a woman, what is the probability that she was a faculty member?