4-4 Multiplication Rule: Basics 179 Pre-Employment Drug Screening. In Exercises

Question

4-4 Multiplication Rule: Basics 179 Pre-Employment Drug Screening. In Exercises 13-16, use the test results summarized in Table 4-1, reproduced bere. Consider an event to be "unlikely"if its probab 0.05 or less Table 4-1 Pre-Employment Drug Screening Results Positive Test Result (Drug Use is Indicated) Negative Test Result (Drug Use Is Not Indicated) Subject Uses Drugs (True Positive) 90 False Positive) (False Negative) 860 (True Negative) Subject is Not a Drug User 13. Pre-Employment Drug Screening If 2 of the 1000 test subjects are randomly selected find the probability that they both had false positive resuls. Is it unlikely to randomly select 2 subjects and get 2 results that are both false positive results? a. Assume that the 2 selections are made with replacement. b. Assume that the 2 selections are made without replacement.

Explanation / Answer

(a) Prob. = (90/1000) * (90/1000) = 0.0081
(b) Prob. = (90/1000) * (89/999) = 0.00802

Yes, it is unlikely, because both the probabilities are less than 0.05.

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