Of all people applying for a certain job, only 70% are qualified. The personnel manager claims that she approves qualified people 80% of the time; she approves an unqualified person 30% of the time. (A)  What is the probability that a person, chosen at random, is approved by the personnel manager? (B)  What is the probability that a person is unqualified if he or she was approved by the manager?

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 people applying for a certain job, only 70% are qualified. The personnel manager
claims that she approves qualified people 80% of the time; she approves an unqualified
person 30% of the time.
(A)  What is the probability that a person, chosen at random, is approved by the
personnel manager?
(B)  What is the probability that a person is unqualified if he or she was approved
by the manager? 

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