Exercise 1. Conditional Probability. Suppose that 5% of the employees of a certain company use illegal drugs. The company performs random drug tests that return positive results 98% of the time if the person is a drug user. However, it also has a 4% false positive rate. The results of the test are independent from test to test for a given person. Round your answers to 4 decimals points. Reminder: The false positive rate of a test is defined as the probability that the test returns a positive result while the person was not taking drugs. 1. An employee at the company has a positive test. What is the probability that he uses drugs? 2. Knowing that the first test was positive, what is the probability the second test will be positive? 3. Suppose that the second test is also positive. What is the probability he uses drugs?
Exercise 1. Conditional Probability. Suppose that 5% of the employees of a certain company use illegal drugs. The company performs random drug tests that return positive results 98% of the time if the person is a drug user. However, it also has a 4% false positive rate. The results of the test are independent from test to test for a given person. Round your answers to 4 decimals points. Reminder: The false positive rate of a test is defined as the probability that the test returns a positive result while the person was not taking drugs. 1. An employee at the company has a positive test. What is the probability that he uses drugs? 2. Knowing that the first test was positive, what is the probability the second test will be positive? 3. Suppose that the second test is also positive. What is the probability he uses drugs?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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