1. A certain respiratory illness affects 0.1% of the population. An accurate test has beendeveloped to detect this illness with the following details:- false positive rate of 4% (4% of the people who take the test will test positive even though theydon't have it)- false negative rate of 3%Given that a random person just tested positive, determine the probability of having this illness.

Answered: Given that a random person just tested…

Math

Probability

Given that a random person just tested positive, determine the probability of having this illness.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...

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Question

1. A certain respiratory illness affects 0.1% of the population. An accurate test has been
developed to detect this illness with the following details:
- false positive rate of 4% (4% of the people who take the test will test positive even though they
don't have it)
- false negative rate of 3%
Given that a random person just tested positive, determine the probability of having this illness.

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