Mathematics, 18.06.2020 18:57, asseatingbandit

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% of the 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.

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a. Suppose the fraction of undergraduate students who smoke is 15% and the fraction of graduate stud...