rounded to three decimal places. 65. The probability that the drive yo % are def
ID: 3276562 • Letter: R
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rounded to three decimal places. 65. The probability that the drive yo % are defective; of the e defective. Determine each probability the u purchase is U.S. made and is not defective 66. The probability that the drive you purchase is foreign made en die and is defective 67. If your drive is defective, the probability that it is foreign S bi made th 68. If your drive is defective, the probability that it is made in the United States Drug testing. In Exercises 69 and 70, do computations similar to those in Example 6 using this revised information. Assurne that 4% of the employees use the drug and that the test correctly identifies a drug user 98% of the time. Also assume that the test identifies a nonuser as a drug user 3% of the time. 7 69. If an employee tests positive, what is the probability that the person is innocent? 70. If an employee tests negative, what is the probability that the 7 person is a user? Communicating Mathematics 1. If you know the conditional probability formula for P(FIE), 7 how do you find the probability formula for PEn F) We say that events E and F are independent if P(F E) P(F). Give an intuitive explanation of what this equation is 7 saying. 72.Explanation / Answer
69.
Probability that an employee uses the drug, P(D) = 0.04 and P(D') = 0.96
P(P|D) = 0.98 and P(P'|D) = 0.02
P(P|D') = 0.03 and P(P'|D') = 0.97
Required probability, P(D'|P) = P(P|D')*P(D') / (P(P|D')*P(D') + P(P|D)*P(D))
P(D'|P) = 0.03*0.96 / (0.03*0.96 + 0.98 * 0.04) = 0.4235
Hence 0.4235 is the probability that the person is innocent given an employee tests positive.
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