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1. (10 points) During a Wrestling Tournament, a drug test will detect performing enhancing drugs use 99% of the time (that is, show positive for

1. (10 points) During a Wrestling Tournament, a drug test will detect performing enhancing drugs use 99% of the time (that is, show positive for an athlete who uses those drugs). However, 5% of those who don't use performance enhancing drugs test positive (the false positive rate). If athletes have a positive test, additional tests are done. From those tests we know that 10% of the initial positive tests are actually from drug users. What is the percentage of wrestlers who use drugs?

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