Theorem 4.2. Bayes' Theorem. If E1, E2, E2 ..., E, are mutually disjoint events with P (E;) # 0, (i = 1, 2, . n), then for any arbitrary event A which is a subset of E; such .... i= 1 that P (A) > 0, we have P (E; I A) P (E;) P (A IE;) P (E;) P (A I E;) P (A) ;i = 1, 2, ..., n %3D %3D Σ Ρ(Ε) P (ΑΙΕ) i = 1

Theorem 4.2. Bayes' Theorem. If E1, E2, E2 ..., E, are mutually disjoint events with P (E;) # 0, (i = 1, 2, . n), then for any arbitrary event A which is a subset of E; such .... i= 1 that P (A) > 0, we have P (E; I A) P (E;) P (A IE;) P (E;) P (A I E;) P (A) ;i = 1, 2, ..., n %3D %3D Σ Ρ(Ε) P (ΑΙΕ) i = 1

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 4E: Let E and F be events in a sample space S. aThe probability of E and F occurring is...

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