Question

Asked Sep 27, 2019

23. Composite Drug Test Based on the data in Table 4-1 on page 146, 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?

Step 1

**Obtain the probability that randomly selected person testing negative for drug use:**

It is given that probability of a randomly selected person testing positive for drug use is 0.126 and random sample of subject size is 5.

The required probability is,

Step 2

**Obtain the probability that the combined sample will reveal a positive result:**

The required probability is,

Step 3

**Identify probability low enough so that further testing of the individual samples is rarely necessary or not:**

Here the probability that the combined sample will reveal a positive result is 0.49 and which is greater than 0.05 so the probability is not low**.**

**No, the p...**

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