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 4 or more people will have to be tested before 2 with the gene are detected? (b) How many people are expected to be tested before 2 with the gene are detected?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 4 or more people will have to be tested before 2 with the gene are detected?

(b) How many people are expected to be tested before 2 with the gene are detected?

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