(See Solution) Of 550 students, 400 are on-campus students and 150 are off-campus students. 470 have passed the exam, out of which 350 are on-campus students.
Question: Of 550 students, 400 are on-campus students and 150 are off-campus students. 470 have passed the exam, out of which 350 are on-campus students.
- Construct an appropriate contingency table.
- Construct an appropriate decision tree.
- Calculate the marginal probability of being an on-campus student and failing the exam.
- Calculate the probability of being an on-campus student given one has passed the exam.
- Are "passing the exam" and "on campus" two statistically independent events. Explain.
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