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In an attempt to cheat a drug test, a woman in Ohio borrowed urine

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In an attempt to cheat a drug test, a woman in Ohio borrowed urine from someone else to pass off as her own. Unfortunately, the urine tested positive for other drugs. A manufacturer claims that a drug test will detect steroid use 97% of the time. Further, 10% of all steroid-free individuals also test positive. Suppose that 8% of the rugby team members use steroids.

(a) What is the probability that a randomly selected individual will test positive for steroid use?

(b) You friend on the rugby team just tested positive. What is the probability that he uses steroids?

(c) Two of your friends on the rugby team just tested positive. What is the probability that both of them use steroids?

(d) Two of your friends on the rugby team just tested negative. What is the probability that both of them use steroids?

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[Solved] In an attempt to cheat a drug test, a woman in Ohio borrowed urine

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