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In a clinical study, volunteers are tested for a gene that has been found to increase...

In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability that a person carries the gene is 0.1. Assume independence. (a) What is the probability that five or more people need to be tested to detect two with the gene? (b) What is the expected number of people to test to detect two with the gene?

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