Computer screening of tax returns is used to flag tax forms that need to be investigated further. The method correctly flags 85% of all erroneous returns and incorrectly flags 5% of error-free returns. The pool of tax returns submitted for computer screening contains 15% with errors. (a) A tax return is randomly screened. What is the probability that it is flagged by the computer and has an error? (b) What is the probability that a random tax form is flagged by the computer? (c) If a tax return is not flagged by the computer, what is the probability that it is correct?

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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Computer screening of tax returns is used to flag tax forms that need to be investigated further. The method
correctly flags 85% of all erroneous returns and incorrectly flags 5% of error-free returns. The pool of tax
returns submitted for computer screening contains 15% with errors.
(a) A tax return is randomly screened. What is the probability that it is flagged by the computer and has an
error?
(b) What is the probability that a random tax form is flagged by the computer?
(c) If a tax return is not flagged by the computer, what is the probability that it is correct?
Transcribed Image Text:Computer screening of tax returns is used to flag tax forms that need to be investigated further. The method correctly flags 85% of all erroneous returns and incorrectly flags 5% of error-free returns. The pool of tax returns submitted for computer screening contains 15% with errors. (a) A tax return is randomly screened. What is the probability that it is flagged by the computer and has an error? (b) What is the probability that a random tax form is flagged by the computer? (c) If a tax return is not flagged by the computer, what is the probability that it is correct?
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