Testing for a disease can be made more efficient by combining samples. If the samples from six people are combined and the mixture tests negative, then all six samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.1, find the probability of a positive result for six samples combined into one mixture. 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.) C

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Testing for a disease can be made more efficient by combining samples. If the samples from six people are combined and the mixture tests negative, then all six
samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the
probability of a single sample testing positive is 0.1, find the probability of a positive result for six samples combined into one mixture. 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.)
~
Transcribed Image Text:Testing for a disease can be made more efficient by combining samples. If the samples from six people are combined and the mixture tests negative, then all six samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.1, find the probability of a positive result for six samples combined into one mixture. 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.) ~
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