(solution) Archie is taking a course in probability theory. Discussion

(solution) Archie is taking a course in probability theory. Discussion

Archie is taking a course in probability theory. Discussion sessions with the class TA (teaching assistant) conflict with Archie’s trips to the beach. Archie has to decide between attending TA sessions, which might help him do better in the probability course, and going to the beach. Archie learns that 95% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 14% of past students received a grade higher than B. After some thought, Archie decides to attend the TA sessions. Not all of his classmates share his decision; in fact, only 9 out of every 19 of his classmates attend discussion sessions with the TA. Compute the probability that Archie will receive a grade higher than a B in the course. Round your answer to two decimal places.