Question 84441This question is from textbook Elementary Statistics
: It is known that steroids give users an advantage in athletic contests, but it is also known that steriod use is banned in athletes. As a result, a steroid testing program has been instituted and athletes are randomly tested. The test procedures are believed to be equally effective on both users and nonusers and claim to be 98% accurate. If 90% of the athletes affected by this testing program are clean, what is the probability that the next athlete tested will be a user and fail the test?
I'm not sure, but can you use the equation P(A and B) = P(A) * P(B knowing A)
This question is from textbook Elementary Statistics
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! It is known that steroids give users an advantage in athletic contests, but it is also known that steriod use is banned in athletes. As a result, a steroid testing program has been instituted and athletes are randomly tested.
The test procedures are believed to be equally effective on both users and nonusers and claim to be 98% accurate.
If 90% of the athletes affected by this testing program are clean, what is the probability that the next athlete tested will be a user and fail the test?
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P(fail|user)=0.98
P(pass|nonuser)=0.98
P(nonuser)=0.90
P(user)=0.10
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Your Problem:
P(user and fail)= P(fail | user)*P(user)
= 0.98*0.90
= 0.882
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Cheers,
Stan H.
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