7) The table lists the drinking habits of a group of college students. Gender No

Question

7) The table lists the drinking habits of a group of college students. Gender Nondrinker Regular drinker Heavy drinker Total Male Female 187 Total 322 52 21 73 135 192 19 414 a) A student is chosen at random. What is the probability of choosing a heavy drinker? b) A student is chosen at random. What is the probability of choosing a male? c) A student is chosen at random. What is the probability of choosing a male who is a heavy drinker? d) A student is chosen at random. Given that the student selected is male, what is the probability he is a heavy drinker? e) A student is chosen at random. Given that the student selected is a heavy drinker, what is the probability the student is a male? f) )A student is chosen at random. What is the probability of choosing a male or a heavy drinker?

Explanation / Answer

a) P(heavy smoker) =19/414=0.0459

b)P(male) =192/414=0.4638

c)P(male and heavy drinker) =5/414 =0.0121

d)P(heavy drinker|male) =5/192=0.0260

e) P(male|heavy drinker) =5/19=0.2632

f)P(male or heavy drinker) =(192+19-5)/414=0.4976

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