Students who read their statistics text have a .98 probability of passing the course. Those who don't have a .85 probability of failing. If 70% of the students do the readings, then:
a) What is the probability that a student will pass the course?
b) If a student were to pass, what would the probability have been that he or she did the readings?
This is what I have come up with so far:
Let P = pass course and T= read text
(P|T) = 0.98 so P(P'|T) = 0.02
(P'|T') = 0.85 so (P|T') = 0.15