Pre-Employment Drug Screening. In Exercises 13-16y me the test results summarize

Question

Pre-Employment Drug Screening. In Exercises 13-16y me the test results summarized in Table 4-1, reproduced here. Consider an event to be "unlikely" if its probability is 0.05 or less. Pre-Employment Drug Screening If 2 of the 1000 test subjects are randomly selected, find the probability that they both had false positive results. Is it unlikely to randomly select 2 subjects and get 2 results that arc both false positive results? Assume that the 2 selections arc made with replacement. Assume that the 2 selections are made without replacement.

Explanation / Answer

a)

with replacement

P(both had false positive results) = 44 / 1000 * 44/1000 = 0.001936

b)

without replacement

P(both had false positive results) = 44 / 1000 * 43/999 = 0.001893893

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