low cost.  Based on past drug testing, the FAA reports that drug use is estimated at 0.017 among pilots.  The urine test will correctly identify 0.96 of pilots using drugs.  The test will also correctly identify 0.88 of individuals who do not use drugs. Assuming I was a pilot and tested positive, what is the probability that I am a drug user, given the positive test? NOTE: Remember that you can use the tree diagram to assist you in setting up this question

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ue to the nature of their positions, air traffic controllers are required to undergo periodic random drug testing.  A urine test is typically used due to its low cost.  Based on past drug testing, the FAA reports that drug use is estimated at 0.017 among pilots.  The urine test will correctly identify 0.96 of pilots using drugs.  The test will also correctly identify 0.88 of individuals who do not use drugs.

Assuming I was a pilot and tested positive, what is the probability that I am a drug user, given the positive test?

NOTE: Remember that you can use the tree diagram to assist you in setting up this question.

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