Based on the data in Table 4-1 on page 162, assume that the probability of a randomly selected person testing positive for drug use is 0.126. If drug screening samples are collected from 5 random subjects and combined, find the probability that the combined sample will reveal a positive result. Is that probability low enough so that further testing of the individual samples is rarely necessary?

Table 4-1: Results from Drug Tests of Job Applicants

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Subject Uses Drugs Subject Does Not Use Drugs Positive Test Result (Test shows drug use.) 45 (True Positive) 25 (False Positive) Negative Test Result (Test shows no drug use.) 5 (False Negative) 480 (True Negative)