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

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)