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In: Statistics and Probability

[6] Sixty percent of the student body at the University of British Columbia is from British...

  1. [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.

  1. What percentage of University of British Columbia students live in the dormitories?

  2. Given that a student lives in the dormitory, what is the probability that she/he is an international student?

  3. Given that a student lives in the dormitory, what is the probability that she/he is from British Columbia?

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