# A test for the presence of a certain disease has

## Problem 113E Chapter 3

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 113E

A test for the presence of a certain disease has probability .20 of giving a false-positive reading (indicating that an individual has the disease when this is not the case) and probability .10 of giving a false-negative result. Suppose that ten individuals are tested, five of whom have the disease and five of whom do not. Let X = the number of positive readings that result. a.? oes X have a binomial distribution? Explain your reasoning. b.? ?What is the probability that exactly three of the ten test results are positive?

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