In the current first-year class of a community college, all the students come from three local high schools. Schools I, II, and III supply respectively 40%, 50%, and 10% of the students. The failure rate of students is 4%, 2%, and 6%, respectively. 1. What is the probability that a randomly selected student will not fail? 2. Given that a student does not fail, what is the probability that he or she came from school I?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In the current first-year class of a community college, all the students come from three local high schools. Schools I, II, and III supply respectively 40%, 50%, and 10% of the students. The failure rate of students is 4%, 2%, and 6%, respectively.

1. What is the probability that a randomly selected student will not fail?

2. Given that a student does not fail, what is the probability that he or she came from school I?

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