Homework SourseA particular test for the presence of illegal steroids is to
A particular test for the presence of illegal steroids is to be used after a professional track meet. • If steroids are present, then the test will give a positive result 95% of the time (in the other 5% of these cases the test will give a negative result). • If steroids are not present, the test will give a negative result 90% of the time (so, it is wrong in 10% of these cases and falsely gives a positive result). • Based on past data, it is believed that 2% of the athletes in the track meet use steroids. • Suppose that the test is given to a randomly selected athlete at the track meet. • Let A be the event that the athlete is guilty of using illegal steroid • Let B be the event that the test is positive for steroids. (a) What is the probability of event A? (b) What is the probability of event B? (c) Suppose that the test is negative, what is the probability that the athlete is guilty of using illegal steroids? (d) Suppose that the test is positive, what is the probability that the athlete is guilty of using illegal steroids?
A particular test for the presence of illegal steroids is to be used after a professional track meet. • If steroids are present, then the test will give a positive result 95% of the time (in the other 5% of these cases the test will give a negative result). • If steroids are not present, the test will give a negative result 90% of the time (so, it is wrong in 10% of these cases and falsely gives a positive result). • Based on past data, it is believed that 2% of the athletes in the track meet use steroids. • Suppose that the test is given to a randomly selected athlete at the track meet. • Let A be the event that the athlete is guilty of using illegal steroid • Let B be the event that the test is positive for steroids. (a) What is the probability of event A? (b) What is the probability of event B? (c) Suppose that the test is negative, what is the probability that the athlete is guilty of using illegal steroids? (d) Suppose that the test is positive, what is the probability that the athlete is guilty of using illegal steroids?
A particular test for the presence of illegal steroids is to be used after a professional track meet. • If steroids are present, then the test will give a positive result 95% of the time (in the other 5% of these cases the test will give a negative result). • If steroids are not present, the test will give a negative result 90% of the time (so, it is wrong in 10% of these cases and falsely gives a positive result). • Based on past data, it is believed that 2% of the athletes in the track meet use steroids. • Suppose that the test is given to a randomly selected athlete at the track meet. • Let A be the event that the athlete is guilty of using illegal steroid • Let B be the event that the test is positive for steroids. (a) What is the probability of event A? (b) What is the probability of event B? (c) Suppose that the test is negative, what is the probability that the athlete is guilty of using illegal steroids? (d) Suppose that the test is positive, what is the probability that the athlete is guilty of using illegal steroids?
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