36. Dr. Stallter has been teaching basic statistics for many years. She knows th

Question

36. Dr. Stallter has been teaching basic statistics for many years. She knows that 80 percent of the students will complete the assigned problems. She has also determined that among those who do their assignments, 90 percent will pass the course. Among those students who do not do their homework, 60 percent will pass. Mike Fishbaugh took statistics last semester from Dr. Stallter and received a passing grade. What is the probability that he completed the assignments?

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Explanation / Answer

probability of doing an assignment = 80/100 Probability of student not passing an exam = 1-80/100= 20/100 probability that student did the assignment and passed the exam = 80/100*90/100 Probability student did not do the assignment and passed the exam = 20/100*60/100 So Probability of Mike completing the assignment = [80/100*90/100]/[80/100*90/100 + 20/100*60/100] = 0.857

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