The probability of a positive test is? Is the probability low enough so that fur

Question

The probability of a positive test is? Is the probability low enough so that further testing of the individual samples will not be a rarely necessary event? secure | https://www.mathxl.com/Student/PlayerTest.aspx?testId-165410596&centerwinayes; Online Statistics Fall 2017 Test: Comprehensive Time Remaining: 02:39:06 Submit Tes Final Test This Question: 1 pt 6 of 34 (5 complete) This Test: 34 pts possil Testing for a disease can be made more efficient by combining samples. If the samples from three people are combined and the mixture 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? 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? 0 A. The probability is not low, so further testing of the individual samples will not be a rarely necessary O B. The probability is not low so further testing will not be necessary for any of the mixtures. O C. The probability is not low, so further testing of the individual samples will be a rarely necessary O D. The probability is not low, so further testing will be necessary for all of the combined mixtures. event event Click to select your answer(s) 2 Post-Test

Explanation / Answer

p = 0.2

P(positive mixture) = P(1 or more +ve)

P = 1 - P(zero +ve)

P = 1 - P(all negative)

P = 1 - (0.8)^3

P = 0.488

No, probability is not low enough

C option

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