To reduce laboratory costs, water samples from four public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there sample from four public swimming areas will reveal the presence of bacteria Is the probability low enough so that further testing of the individual samples is rarely necessary? a 0.005 probability of finding bacteria in a public swimming area. Find the probability that a combined The probability of a positive test result is (Round to three decimal places as needed.) Incorrect:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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To reduce laboratory costs, water samples from four public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.005 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from four public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary?

The probability of a positive test result is [____]

(Round to three decimal places as needed.)

**Explanation:**

- This exercise involves calculating the probability of a positive test result when samples are pooled from four swimming areas.
- The goal is to determine whether the combined testing is efficient and whether further individual tests are often required.

**Note:** There are no diagrams or graphs in the image.
Transcribed Image Text:To reduce laboratory costs, water samples from four public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.005 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from four public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is [____] (Round to three decimal places as needed.) **Explanation:** - This exercise involves calculating the probability of a positive test result when samples are pooled from four swimming areas. - The goal is to determine whether the combined testing is efficient and whether further individual tests are often required. **Note:** There are no diagrams or graphs in the image.
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