1. What is a prior probability? What is a posterior probability?
2. Explain the purpose behind using Bayes' theorem.
METHODS AND APPLICATIONS
3. Suppose that A1, A2, and B are events where A1 and A2 are mutually exclusive and
P(A1) = .8 P(B I A1) = .1
P(A2) = .2 P(B I A2) = .3
Use this information to find P(A1 I B) and P(A2 I B).