Suppose that k events B1,...., Bk form a partition of the sample space S. For i=1,...,k, let Pr(Bi) denote the prior probability of Bi. Also for each event A such that Pr(A) > 0, let (Bi|A) denote the posterior probability of Bi given that the event A has occured. Prove that if Pr(B1|A)Pr(Bi) for at least one value of i(i=2,...,k).

Carina Sanchez 2/15/2017 STAT 2480 The University of Texas at El Paso STAT 248024193 Desmond Koomson Topics for Midterm Week 12 I. Experimental Design A Importance of Randomization in a Good Experimental Design Randomization is important because it ensures that the experiment doesn’t favor