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 sixsamples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming theprobability 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 enoughso 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.)

Here given, Testing for a disease can be made more efficient by combining samples. If the samples…

Answered: The probability of a positive test…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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COVID is known to affect one in ten thousand people. A screening test for the virus shows a positive result for 99% of the people with the virus. The test also shows positive for 2% of people who do not have the virus. Find the probability that somebody is healthy given that they have positive test result?
Meningitis causes stiff neck 50% of the time. The probability of a patient having meningitis (M) is 1/50,000.The probability of a patient having stiff neck (S) is 1/20.Now calculate the probability of meningitis given stiff neck?
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A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
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A blood test for diabetes gives a positive result with a proportion of 0.22 when an individual has diabetes and a negative result with a proportion of 0.11 when they do not. Approximately a proportion of 0.66 of the population has diabetes. If a randomly chosen citizen tested negative, what is the probability that they actually have diabetes? Round your answer to five decimals.
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