Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known that those who use this type of drug have a 94% chance of testing positive. It is also known that 3% of non- drug users (of the certain type of drug) still test positive.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known that those who use this type of drug have ½ 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive. a.) Fill out a probability cross tabulation. b.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug? c) If the employee tests positive for a certain drug, what's the probability that the employee does NOT use the drug?
**Conditional Probability:**

6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection, it is known that those who use this type of drug have a 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive.
Transcribed Image Text:**Conditional Probability:** 6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection, it is known that those who use this type of drug have a 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive.
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