(See Steps) A metropolitan school system consists of three districts-north, south, and central. The north district contains 25 \% of all students, the south district
Question: A metropolitan school system consists of three districts-north, south, and central. The north district contains \(25 \%\) of all students, the south district contains \(40 \%\), and the central district contain 35%. A minimum-competency test was given to all students; \(10 \%\) of the north district student failed, 15% of the south district students failed, and \(5 \%\) of the central district students failed.
- Develop a probability tree showing all marginal, conditional, and joint probabilities.
- Develop a joint probability table.
- What is the probability that a student selected at random failed the test?
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