Question 10 **Title: Evaluating the Accuracy of Drug Test Results****Text:**Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 147 subjects with positive test results, there are 23 false positive results; among 154 negative results, there are 4 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.)---**Question:**The probability that a randomly selected subject tested negative or did not use marijuana is _____. (Do not round until the final answer. Then round to three decimal places as needed.)---**Analysis:**To solve this problem, we can use a table to organize the given information and then calculate the required probability.First, let’s break down the information:- Total subjects who tested positive: 147 - False positives among them: 23 - True positives (actual marijuana users) = 147 - 23 = 124 - Total subjects who tested negative: 154 - False negatives among them: 4 - True negatives (actual non-users) = 154 - 4 = 150So, the total number of subjects:- Total positive results = 147- Total negative results = 154- Total subjects = 147 + 154 = 301To find the probability that a randomly selected subject tested negative or did not use marijuana, we need to consider:- True negatives (150)- False negatives (4)- Subjects who do not use marijuana = true negatives + false positives = 150 + 23 = 173Events (subject tested negative or did not use marijuana):- Total good outcomes (test negative or did not use marijuana) = true negatives + false negatives + false positives = 150 + 23 + 4 = 177Finally, the probability is calculated as follows:\[ \text{Probability} = \frac{\text{Total good outcomes}}{\text{Total subjects}} = \frac{177}{301} \]Let's calculate the value:\[ \text{Probability} = \frac{177}{301} \approx 0.588 \]Hence, the probability that a randomly selected subject tested negative or did not use marijuana is approximately 0.588 (rounded to three decimal places).

The question is about probabilityGiven :Total no. of positive test results = 147No. of false…

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 147 subjects with positive test results, there are 23 false positive results; among 154 negative results, there are 4 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.) The probability that a randomly selected subject tested negative or did not use marijuana is (Do not round until the final answer. Then round to three decimal places as needed.)

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 147 subjects with positive test results, there are 23 false positive results; among 154 negative results, there are 4 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.) The probability that a randomly selected subject tested negative or did not use marijuana is (Do not round until the final answer. Then round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Question 10

**Title: Evaluating the Accuracy of Drug Test Results**

**Text:**

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 147 subjects with positive test results, there are 23 false positive results; among 154 negative results, there are 4 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.)

---

**Question:**

The probability that a randomly selected subject tested negative or did not use marijuana is _____.
(Do not round until the final answer. Then round to three decimal places as needed.)

---

**Analysis:**
To solve this problem, we can use a table to organize the given information and then calculate the required probability.

First, let’s break down the information:

- Total subjects who tested positive: 147
- False positives among them: 23
- True positives (actual marijuana users) = 147 - 23 = 124

- Total subjects who tested negative: 154
- False negatives among them: 4
- True negatives (actual non-users) = 154 - 4 = 150

So, the total number of subjects:
- Total positive results = 147
- Total negative results = 154
- Total subjects = 147 + 154 = 301

To find the probability that a randomly selected subject tested negative or did not use marijuana, we need to consider:
- True negatives (150)
- False negatives (4)
- Subjects who do not use marijuana = true negatives + false positives = 150 + 23 = 173

Events (subject tested negative or did not use marijuana):
- Total good outcomes (test negative or did not use marijuana) = true negatives + false negatives + false positives = 150 + 23 + 4 = 177

Finally, the probability is calculated as follows:
\[ \text{Probability} = \frac{\text{Total good outcomes}}{\text{Total subjects}} = \frac{177}{301} \]

Let's calculate the value:
\[ \text{Probability} = \frac{177}{301} \approx 0.588 \]

Hence, the probability that a randomly selected subject tested negative or did not use marijuana is approximately 0.588 (rounded to three decimal places).

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