can anyone help with an interesting probability question?
Urine samples of 20 people will be tested for drugs. Assume that each sample will test negative for drugs with probability p; furthermore, assume that whether a particular sample tests positive or not is independent of the status of the other samples. Instead of testing each samples separately, the testing company is considering the following procedure. Take a portion of each of the ten samples, mix the portions together, and test the mixture. If the mixture is clear, then all people are clear. However, if the mixture tests positive for drugs, then each of the samples will need to be individually tested for the presence of drugs. Let N be the total number of tests under the proposed procedure. (a) What is the p.m.f. of N?
No idea. Medal?
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