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Air traffic controllers have a job that affects the lives of millions of people each dat. The FAA considers it important to promote a drug-free

  1. Air traffic controllers have a job that affects the lives of millions of people each dat. The FAA considers it important to promote a drug-free environment. A urine test used for initial screening has sensitivity and specificity of 0.96 and 0.93. Based on past testing, the prevalence of drug use is known to be about 0.007 (less than 1%).

  1. A positive test puts the air traffic controller's job in jeopardy. What is the probability of a positive test result?
  2. Find the probability an air traffic controller truly used drugs, given the test is positive.

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