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Students at UCLA are from these disciplines: 15% Science, 21% Healthcare, 24% Liberal Arts, and 40% Engineering. (Each student belongs to a unique discipline.) The
Students at UCLA are from these disciplines: 15% Science, 21% Healthcare,
24% Liberal Arts, and 40% Engineering. (Each student belongs to a unique discipline.)
The students attend a lecture and give feedback. Suppose 90% of the Science students
liked the lecture, 18% of the Healthcare students liked it, none of the Liberal Arts
students liked it, and 10% of the Engineering students liked it. If a student is randomly
chosen, and the student liked the lecture, what is the conditional probability that the
student is from Science?
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