when doing a blood testing for HIV infections,the procedure can be made efficien

Question

when doing a blood testing for HIV infections,the procedure can be made efficient and less expensive bycombinning samples of blood specimens. if samples from three peopleare combined and the mixture tests negative, we know that all threeindividual samples are negative. find the probability of a positiveresult for three samples combined into one mixture, assuming theprobability of an individual blood sample testing positive is 0.1 (the probability for theat- risk population, based on data from thenew york state health department.
when doing a blood testing for HIV infections,the procedure can be made efficient and less expensive bycombinning samples of blood specimens. if samples from three peopleare combined and the mixture tests negative, we know that all threeindividual samples are negative. find the probability of a positiveresult for three samples combined into one mixture, assuming theprobability of an individual blood sample testing positive is 0.1 (the probability for theat- risk population, based on data from thenew york state health department.

Explanation / Answer

1-0.1=.9 .9 to the power of 3= .729 1-.729= .271

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