Good performance (obtaining a grade of A+) in this probabilityclass depends on your attendance (A) and completion of assignments(C). The probability that you will receive a grade of A+ are 95%,75%, 50%, and 0%, if you attend the class and complete theassignments, if you attend but do not complete assignments, if youdo not attend but complete assignments, and if you neither attendnor complete assignments, respectively. Further assume that if youattend the class, there is a 90% probability that you will completethe assignments. The probability that you will attend the class is0.95 and the probability that you will complete the assignments is0.90.
(a) What is the probability that you will receive an A+ in thisclass?
(b) If a student receives an A+, what is the probability thatyou attend the class and completed the assignments?