A tax return is flagged by the computer. What is the chance that it actually contains mistakes, given that the computer flagged it?

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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1. When the State of Delaware receives tax forms, it puts them through a computer program to flag forms that
need to be investigated further. The computer looks for mistakes in the forms (example: addition mistakes or
incorrect deduction amounts).
Suppose the computer correctly flags 80% of all returns that have mistakes, and it incorrectly flags 5% of
error-free returns. Further, suppose that 15% of all tax returns have errors.
A tax return is flagged by the computer. What is the chance that it actually contains mistakes, given that the
computer flagged it?
Transcribed Image Text:1. When the State of Delaware receives tax forms, it puts them through a computer program to flag forms that need to be investigated further. The computer looks for mistakes in the forms (example: addition mistakes or incorrect deduction amounts). Suppose the computer correctly flags 80% of all returns that have mistakes, and it incorrectly flags 5% of error-free returns. Further, suppose that 15% of all tax returns have errors. A tax return is flagged by the computer. What is the chance that it actually contains mistakes, given that the computer flagged it?
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