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In a certain school, 4 levels of French are taught with 40% of the students being...

In a certain school, 4 levels of French are taught with 40% of the students being enrolled in level 1, 30% enrolled in level 2, 20% enrolled in level 3, and 10% enrolled in level 4. The percentage of people who enjoy their French class is 70% in level 1, 80% in level 2, 85% in level 3, and 90% in level 4.

Given that a person enjoys his/her French class, let pj be the probability that the student is enrolled in level j. Find pj for j = 1, 2, 3, 4.

(The four answers should sum to 1 altogether.)

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