To reduce laboratory costs, water samples from two public swimming pools are combined for one test for the presence bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.008 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from two public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individua samples is rarely necessary? The probability of a positive test result is 0.016. (Round to three decimal places as needed.) Is the probability low enough so that further testing of the individual samples is rarely necessary?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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To reduce laboratory costs, water samples from two 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 0.008
probability of finding bacteria in a public swimming area. Find the probability that a combined sample from two 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 0.016 .
(Round to three decimal places as needed.)
Is the probability low enough so that further testing of the individual samples is rarely necessary?
A. The probability is quite high, indicating that further testing of the individual samples will frequently be a necessary
event.
B. The probability is quite low, indicating that further testing of the individual samples will be a rarely necessary event.
C. The probability is quite low, indicating that further testing is not necessary for any of the combined samples.
D. The probability is quite high, indicating that further testing is necessary for all of the combined samples.
Transcribed Image Text:To reduce laboratory costs, water samples from two 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 0.008 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from two 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 0.016 . (Round to three decimal places as needed.) Is the probability low enough so that further testing of the individual samples is rarely necessary? A. The probability is quite high, indicating that further testing of the individual samples will frequently be a necessary event. B. The probability is quite low, indicating that further testing of the individual samples will be a rarely necessary event. C. The probability is quite low, indicating that further testing is not necessary for any of the combined samples. D. The probability is quite high, indicating that further testing is necessary for all of the combined samples.
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