SOLUTION: A recent study of 300 patients found that of 100 alcoholic patients, 87 had elevated cholesterol levels, and of 200 nonalcoholic patients, 43 had elevated cholesterol levels. If a

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Question 266359: A recent study of 300 patients found that of 100 alcoholic patients, 87 had elevated cholesterol levels, and of 200 nonalcoholic patients, 43 had elevated cholesterol levels. If a patient is selected at random, find the probability that the patient is the following:
a. An alcoholic with elevated cholesterol
b. A nonalcoholic
c. A nonalcoholic with nonelevated cholesterol level.
Thanks!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A recent study of 300 patients found that of 100 alcoholic patients, 87 had elevated cholesterol levels, and of 200 nonalcoholic patients, 43 had elevated cholesterol levels. If a patient is selected at random, find the probability that the patient is the following:
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Procedure:
1st: I sketched a contingency table with 2 rows(alc and non-alc) and
2 columns (high choles and low choles)
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2nd: I put the given numbers into the contingency table and filled
in the missing numbers.
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Find the probability that the patient is the following:

a. An alcoholic with elevated cholesterol: 87/300
b. A nonalcoholic: 200/300
c. A nonalcoholic with nonelevated cholesterol level: 43/300
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Cheers,
Stan H.