0.15, find the probability of a positive result for four samples combined into one mixtu at further testing of the individual samples is rarely necessary? ne probability of a positive test result is. cound to three decimal places as needed.) the probability low enough so that further testing of the individual samples is rarely n O A. The probability is low, so further testing will be necessary for all of the combine O B. The probability is not low, so further testing will not be necessary for any of the O C. The probability is low, so further testing of the individual samples will be a rarely O D. The probability is not low, so further testing of the individual samples will freque

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Testing for a disease can be made more efficient by combining samples. If the samples from four people are combined and
the mixture tests negative, then all four 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 0.15, find the probability of a positive result for four 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.)
Is the probability low enough so that further testing of the individual samples is rarely necessary?
A. The probability is low, so further testing will be necessary for all of the combined mixtures.
B. The probability is not low, so further testing will not be necessary for any of the mixtures.
C. The probability is low, so further testing of the individual samples will be a rarely necessary event.
D. The probability is not low, so further testing of the individual samples will frequently be a necessary event.
Transcribed Image Text:Testing for a disease can be made more efficient by combining samples. If the samples from four people are combined and the mixture tests negative, then all four 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 0.15, find the probability of a positive result for four 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.) Is the probability low enough so that further testing of the individual samples is rarely necessary? A. The probability is low, so further testing will be necessary for all of the combined mixtures. B. The probability is not low, so further testing will not be necessary for any of the mixtures. C. The probability is low, so further testing of the individual samples will be a rarely necessary event. D. The probability is not low, so further testing of the individual samples will frequently be a necessary event.
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