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In a random sample of 1,000 people, it is found that 7.4% have a liver ailment.

ID: 3333352 • Letter: I

Question

In a random sample of 1,000 people, it is found that 7.4% have a liver ailment. Of those who have a liver ailment, 7% are heavy drinkers, 70% are moderate drinkers, and 23% are nondrinkers. Of those who do not have a liver ailment, 8% are heavy drinkers, 43% are moderate drinkers, and 49% are nondrinkers.

If a person is chosen at random, what is the probability the person is a moderate drinker?

7% are heavydinke s 70 % are modera e and 23% are nondrinkers, or 1 point in a random sample or 1.000 people, it is found that 7.4% have a liver a ent or those who have a liver ailmen those who do not have a liver ailment. 8% are heavy drinkers, 43% are moderate drinkers, and 49% are nondrinkers. inker If a person is chosen at random, and he or she is a heavy drinker, what is the probability of that person having a liver alment? 0653 If a person is chosen at random, what is the probability the person is a moderate drinker?

Explanation / Answer

If a person is chosen at random, what is the probability the person is a moderate drinker?

Probability that he or she is a moderate drinker = Probability that he has liver ailment and he is a moderate drinker or Probability that he doesnt have liver ailment and he is a moderate drinker =

Probability that he has liver ailment = 0.074 and he is a moderate drinker Probability is .07

Probability that he doesnt have liver ailment = 1- 0.074 = 0.926 and he is a heavy drinker is .043

totyal probability is = 0.074*0.7+0.926*0.43 = 0.4498

0.4498*1000 =44.98 approx 45

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