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6th_chapter4_section5 - Introduction to the Practice of...

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Introduction to the Practice of Statistics Sixth Edition Moore, McCabe Section 4.5 Homework Answers 4.101 Binge drinking and gender. In a college population, students are classified by gender and whether or not they are frequent binge drinkers. Here are the probabilities. Men Women Binge drinker 0.11 0.12 Not binge drinker 0.32 0.45 (b) What is the probability that a randomly selected student is not a binge drinker? P(Not binge drinker) = P(Not binge drinker And Men OR Not binge drinker And Women) = 0.32 + 0.45 = 0.77 (c) What is the probability that a randomly selected male student is not a binge drinker? Lets break down the sentence to see if we can detect what if anything is suppose to be a “given” (that is we know that this event has occurred). What is the probability that a randomly selected male… Are we asking the chance of selecting a male or are we saying the person is a male (no speculating)? My interpretation is that we know the student is male, but are asking if the student is a not binge drinker (not known yet). Here is the notation for the question: P(not binge drinker | male) What would be the question if being a male was also a speculation? What is the probability that a randomly selected student is a male that does not binge drinker? A student is chosen at random; what ist he probability that the student is male and not a binge drinker?

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• Summer '14
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• Statistics, Drinking culture

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