A company audit reveals that 3% of dept budgets contain errors. A program is developed to analyze budgets and in a test, identifies errors in 99% of budgets with errors and 2% of those without. If a budget is marked by the program as possibly having an error, what is the probability that the budget does have an error?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A company audit reveals that 3% of dept budgets contain errors. A program is developed to analyze budgets and in a test, identifies errors in 99% of budgets with errors and 2% of those without. If a budget is marked by the program as possibly having an error, what is the probability that the budget does have an error?

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