In a random sample of 1,000 people, it is found that 7.2% have a liver ailment. Of those who have a liver ailment, 10% are heavy drinkers, 50% are moderate drinkers, and 40% are nondrinkers. Of those who do not have a liver ailment, 13% are heavy drinkers, 46% are moderate drinkers, and 41% are nondrinkers. If a person is chosen at random, and he or she is a heavy drinker, what is the empirical probability of that person having a liver ailment? (Hint: Draw a tree diagram first)

A First Course in Probability (10th Edition)
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In a random sample of 1,000 people, it is found that 7.2% have a liver
ailment. Of those who have a liver ailment, 10% are heavy drinkers, 50% are
moderate drinkers, and 40% are nondrinkers. Of those who do not have a liver
ailment, 13% are heavy drinkers, 46% are moderate drinkers, and 41% are
nondrinkers.
If a person is chosen at random, and he or she is a heavy drinker, what is the
empirical probability of that person having a liver ailment?
(Hint: Draw a tree diagram first)
Transcribed Image Text:In a random sample of 1,000 people, it is found that 7.2% have a liver ailment. Of those who have a liver ailment, 10% are heavy drinkers, 50% are moderate drinkers, and 40% are nondrinkers. Of those who do not have a liver ailment, 13% are heavy drinkers, 46% are moderate drinkers, and 41% are nondrinkers. If a person is chosen at random, and he or she is a heavy drinker, what is the empirical probability of that person having a liver ailment? (Hint: Draw a tree diagram first)
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