What percentage of UTC students lives 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 does not live in the dormitory, what is the probability that she/he is an international student?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 12CYU
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Sixty percent of the student body at UTC is from the state of Tennessee (T), 30% is from other states (O), and the remainder is international students (I). Twenty percent of students from Tennessee lives in the dormitories, whereas 50% of students from other states lives in the dormitories. Finally, 80% of the international students live in the dormitories.
a. What percentage of UTC students lives 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 does not live in the dormitory, what is the probability that she/he is an international student?
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