(a) suppose the fraction of undergraduate students who smoke is 15% and the fraction of graduate students who smoke is 23%. if one-fifth of the college students are graduate students and the rest are undergraduates, what is the probability that a student who smokes is a graduate student?
(b) given the information in part (a), is a randomly chosen college student more likely to be a graduate or undergraduate student?
(c) repeat part (b) assuming that the student is a smoker.
(d) suppose 30% of the graduate students live in a dorm but only 10% ofthe undergraduate students live in a dorm. if a student smokes and lives in the dorm, is he or she more likely to be a graduate or undergraduate student? you can assume independence between students who live in a dorm and those who smoke.