Of all the people applying for a certain job, 60% are qualified and 40% are not. The personnel manager claims that she approves qualified people 80% of the time; she approves unqualified people 30% of the time. Find the probability that a person is qualified if he or she was approved by the manager. The probability is (Simplify your answer. Round to three decimal places as needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Of all the people applying for a certain job, 60% are qualified and 40% are not. The personnel manager claims that she approves qualified people 80% of the time;
she approves unqualified people 30% of the time. Find the probability that a person is qualified if he or she was approved by the manager.
The probability is
(Simplify your answer. Round to three decimal places as needed.)
Transcribed Image Text:Of all the people applying for a certain job, 60% are qualified and 40% are not. The personnel manager claims that she approves qualified people 80% of the time; she approves unqualified people 30% of the time. Find the probability that a person is qualified if he or she was approved by the manager. The probability is (Simplify your answer. Round to three decimal places as needed.)
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