Calculating the Probability using Bayes theorem.
Dr. Stallter has been teaching central statistics for many years. She knows that 80 percent of students will complete the assigned problems. She has also determined that among those who their assignments, 90 percent will pass the course. In the middle of 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?