A diagnostic test for a certain desease is applied to n disease-free individuals

Question

A diagnostic test for a certain desease is applied to n disease-free individuals. Let X be the number of false positives (the number of positive results among the n test results). Let p be the probability of a false positive. Assume that only X is available rather than the actual sequence of test results. Form the maximum likelihood estimator of p: If there are 3 false positive results among 20 test results, what is the estimate? In this case, what is the maximum likelihood estimate that none of next ve tests done on disease-free individuals are positive?

Explanation / Answer

http://www.molecularevolution.org/molevolfiles/paml/bielawski_paml_review.pdf

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