Please see image for Question 22. Thank you! To reduce laboratory costs, water s

Question

Please see image for Question 22. Thank you!

To reduce laboratory costs, water samples from three 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 0.007 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from three 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.) Is the probability low enough so that further testing of the individual samples is rarely necessary? A. The probability is quite low, indicating that further testing of the individual samples will not be a rarely 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 low, indicating that further testing is necessary for all of the combined samples.

Explanation / Answer

P(+ test result)=P(all three pools have bacteria)

=0.007*0.007*0.007 as pools are independent

= 0.000000343

=0.000

Option-B is the correct answer

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