A metropolitan school system consists of two districts, east and west. The east district contains 35% of all students, and the west district contains the other 65%. A vocational aptitude test was given to all students; 10% of the east district students failed, and 25% of the west district students failed. Given that a student failed the test, what is the posterior probability that the student came from the east district?
A metropolitan school system consists of two districts, east and west. The east district contains 35% of all students, and the west district contains the other 65%. A vocational aptitude test was given to all students; 10% of the east district students failed, and 25% of the west district students failed. Given that a student failed the test, what is the posterior probability that the student came from the east district?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 84P: Software development is an inherently risky and uncertain process. For example, there are many...
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A metropolitan school system consists of two districts, east and west. The east district contains
35% of all students, and the west district contains the other 65%. A vocational aptitude test was
given to all students; 10% of the east district students failed, and 25% of the west district students
failed. Given that a student failed the test, what is the posterior probability that the student
came from the east district?
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