A person applies for a certain job, and the probability that he or she is qualified is 0.225. The personnel manager claims the probability that she approves a qualified person is 0.234 and the probability that she approves an unqualified person is 0.267. Find the probability that a person is qualified given that he or she was approved by the manager. The probability is (Type an integer or decimal rounded to three decimal places as needed.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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A person applies for a certain job, and the probability that he or she is qualified is 0.225. The personnel manager claims the probability that she approves a qualified
person is 0.234 and the probability that she approves an unqualified person is 0.267. Find the probability that a person is qualified given that he or she was approved
by the manager.
The probability is
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:A person applies for a certain job, and the probability that he or she is qualified is 0.225. The personnel manager claims the probability that she approves a qualified person is 0.234 and the probability that she approves an unqualified person is 0.267. Find the probability that a person is qualified given that he or she was approved by the manager. The probability is (Type an integer or decimal rounded to three decimal places as needed.)
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