Sixty percent of the student body at UTC is from the state of Tennessee (T), 30% percent are from other states (O), and the remainder are international students (I). Twenty percent of students from Tennessee live in the dormitories, whereas, 50% of students from other states live in the dormitories. Finally, 80% of the international students live in the dormitories.
a.What percentage of UTC students live in the dormitories?b.Given that a student lives in the dormitory, what is the probability that she/he is an international student?c.Given that a student lives in the dormitory, what is the probability that she/he is from Tennessee?
What will be an ideal response?
| a. | 35% |
| b. | 0.2286 (rounded) |
| c. | 0.3429 (rounded) |
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