SOLUTION: A small town has 4000 adult males and 6000 adult females. A sociologist conducted a survey and found 40%of the males and 30%of the females drink heavily. An adult is selected at

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Question 441797: A small town has 4000 adult males and 6000 adult females. A sociologist conducted a survey and found 40%of the males and 30%of the females drink heavily. An adult is selected at random from the town.
What is the probability that the person drinks heavily?
If the person selected drinks heavily, then what is the probability that the person is a male?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A small town has 4000 adult males and 6000 adult females. A sociologist conducted a survey and found 40%of the males and 30%of the females drink heavily. An adult is selected at random from the town.
What is the probability that the person drinks heavily?
If the person selected drinks heavily, then what is the probability that the person is a male?
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P(a random person drinks heavily) = (0.4*4000+0.3*6000)/10000
= 3400/10000 = 0.34
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P(male | drinks heavily) = P(male and dh)/P(dh) = (0.4*4000/10000)/0.34
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= 0.16/0.34
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= 0.47
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Cheers,
Stan H.
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