The probability of a positive test result is
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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 0.05, 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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