Q: On a midterm exam, students X, Y and Z forgot to sign their papers. Professor knows that they can write a good exam with probabilities 0.8, 0.7, and 0.5, respectively. After the grading, he notices that two unsigned exams are good and one is bad. Given this information, and assuming that students worked independently of each other, what is the probability that the bad exam belongs to student Z?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Q: On a midterm exam, students X, Y and Z forgot to sign their papers. Professor knows that
they can write a good exam with probabilities 0.8, 0.7, and 0.5, respectively. After the grading,
he notices that two unsigned exams are good and one is bad. Given this information, and
assuming that students worked independently of each other, what is the probability that the bad
exam belongs to student Z?

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