In: Statistics and Probability
[6] Sixty percent of the student body at the University of British Columbia is from British Columbia, 30% percent are from other Canadian provinces and territories, and the remainder are international students. Twenty percent of students from British Columbia live in the dormitories, whereas 50% of students from other Canadian provinces and territories live in the dormitories. Finally, 80% of the international students live in the dormitories.
What percentage of University of British Columbia students live in the dormitories?
Given that a student lives in the dormitory, what is the probability that she/he is an international student?
Given that a student lives in the dormitory, what is the probability that she/he is from British Columbia?