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(20 pts) A class has three sections. Section has 70 students, 14 of whom received an A on Exam 1. Section 2 has 50 students, 8 of whom received an A on Exam 1. Section 3 has 40 students, 6 of whom received an A on Exam 1. A student is randomly selected from the class. (a) What is the probability the student was in Section 1? (b) What is the probability that the student received an A on Exam 1? (c) What is the probability that the student received an A on Exan 1 if the student was selected from section 1 (d) What is the probability that the student was in Section 1 if the student was selected from the group of those who received an A on Exam 1?

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