Answer to Question #133894 in Economics for Cynthia Parchy

Question

A certain instructor has been teaching statistics for many years. He knows that 70 percent of the students will complete their assignment. Amount those students, who will complete their assignment, he perceived that 80 percent will pass the course and also 60 percent of those who did not complete their assignment, will also pass the course. Mr. suah took statistics last semester under this instructor and received a passing grade. What is the probability that he complete his assignment? (Use Bayes’ Theorem)

Answer 1

Using the Bayes’ Theorem:

$P(A|B) = \frac{0.8×0.7} {0.7×0.8 + 0.3×0.6} = \frac{0.56} {0.74} = 0.76.$