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East and west districts

The 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 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 east district?

Solution Preview

- of students in east = 35%
- of students failing in east = 10%
- of students in west = 65%
- ...

Solution Summary

This solution provides calculations for posterior probability.

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