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25-11-2022
Mathematics

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Sixty percent of the student body at UTC is from the state of Tennessee (T), 30% are from 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. This is not Bayes’ Theorem. P(D)=0.35; where D=living in dormitory. P(I)=0.10*0.80=0.08
a. Given that a student lives in the dormitory, what is the probability that she/he is an international student? P(I|D)
b. Given that a student lives in the dormitory, what is the probability that she/he is from Tennessee? P(T|D)

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