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

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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.

(a) What is the probability four or more people will have to be tested before two with the gene are detected?

(b) How many people are expected to be tested before two with the gene are detected?

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