Hi i need help with this. Thank you in advance Suppose that 0.9% of male professional golfers use steroids, and that Max is a male professional golfer who has beenrandomly selected to take a drug test. The test he has been asked to take has a false positive rate of 1% and a falsenegative rate of 10%.Use Bayes' rule to calculate the probability that Max actually uses steroids if he tests positive for steroid use. Give youranswer as a decimal precise to three decimal places.P =

Name: Hi i need help with this. Thank you in advance Suppose that 0.9% of ma
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Hi i need help with this. Thank you in advance Suppose that 0.9% of male professional golfers use steroids, and that Max is a male professional golfer who has beenrandomly selected to take a drug test. The test he has been asked to take has a false p

Given: Suppose that 0.9% of male professional golfers use steroids, and that Max is a male professional golfer who has been randomly selected to take a drug test. The test he has been asked to take has a false positive rate of 1% and a false negative rate of 10%. Use Bayes’ rule to calculate the probability that Max actually uses steroids if he tests positive for steroid use. Give your answer as a decimal precise to three decimal places.False positive = P (positive | doesn't use steroid) = 0.01 False negative = P (negative | uses steroid) = 0.1 P (positive | uses steroid) = 1 - false positive = 1 - 0.1 = 0.9 P (test positive) = 0.9 * 0.009 + 0.01 * (1 - 0.009) = 0.01801 P (actually uses steroid | test positive) = P(test positive | actually uses steroid) * P(actually uses steroid)/P(test positive) = (0.9 * 0.009)/0.01801 = 0.4498