Prove Theorem 2, the extended form of Bayes' Theorem. That
Chapter 6, Problem 6.3.17(choose chapter or problem)
Prove Theorem 2, the extended form of Bayes' Theorem. That is, suppose that E is an event from a sample space S and that FI , F2, ... , Fn are mutually exclusive events such that U7=1 Fj = S. Assumethat p(E) =1= o and p(Fj) =1= 0 for i = 1 , 2, ... , n. Show that p(Fj I E) = n L... (E I F) (F)' /=I P / P / [Hint: Use the fact that E = U7=1 (E n Fj ).]
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