nd Tests Testing for a disease can be made more efficient by combining samples.
ID: 3319166 • Letter: N
Question
nd Tests Testing for a disease can be made more efficient by combining samples. If the samples from three people are combined and the mbxture tests negative, then all three 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 0.2, find the probability of a positive result for three samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? 59pm The probability of a positive test result is (Round to three decimal places as needed.) 59pm Is the probability low enough so that further testing of the individual samples is rarely necessary? O A. The probability is not low, so further testing of the individual samples will not be a rarely O B. The probability is not low, so further testing will not be necessary for any of the mixtures 2/08/17 :59pm necessary event 2/08/17 59pmOC. The probability is not low, so further testing of the individual samples will be a rarely necessary event 2/08/17 O D. The orobability is not low so further testina will be necessarv for all of the combined mixtures. Click to select your answer(s) ample Tests aExplanation / Answer
P(positive test result) = 1 - P(negative test result)
= 1 - P(all 3 samples test negative)
= 1 - (1-0.2)3
= 1 - 0.83
= 0.488
A. The probability is not low, so further testing of the individual samples will not be a rarely necessary event
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.