Mathematics, 26.02.2020 16:07 anele22

A group of 100 people is tested for a disease, for which there is an infallible but expensive blood test. They are divided into 10 groups of 10 people each, then the people in each group pool their blood. If a test for a group comes our negative, everybody in that group is healthy and no more tests are done. Otherwise, the blood of each of the 10 people in the group is tested separately. Assume that the probability that a person has the disease is, independently, 0.1. Compute the expected number of tests performed.

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A group of 100 people is tested for a disease, for which there is an infallible but expensive blood...