A test for a certain disease has a probability of 0.92 of detecting the disease when it is present and a probability of 0.08 of falsely detecting it when it is not present. The proportion of people who are not afflicted by the disease for a given population is 70%. What is the probability that a randomly selected person from the district will test positive?
A test for a certain disease has a probability of 0.92 of detecting the disease when it is present and a probability of 0.08 of falsely detecting it when it is not present. The proportion of people who are not afflicted by the disease for a given population is 70%. What is the probability that a randomly selected person from the district will test positive?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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![A test for a certain disease has a probability of 0.92 of detecting the disease when it is present and
a probability of 0.08 of falsely detecting it when
it is not present. The proportion of people who are not afflicted by the disease for a given
population is 70%.
What is the probability that a randomly selected person from the district will test positive?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7136435d-2c0b-4a6a-bb14-2bf831d8826c%2F00f7a190-7aba-4596-ab7f-479310cdc7ff%2F2bawm1c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A test for a certain disease has a probability of 0.92 of detecting the disease when it is present and
a probability of 0.08 of falsely detecting it when
it is not present. The proportion of people who are not afflicted by the disease for a given
population is 70%.
What is the probability that a randomly selected person from the district will test positive?
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