Sixty Percent of the Student Body at UTC Is from the State

Essay

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 is 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 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?