Homework Help is Here – Start Your Trial Now!
Math
Statistics
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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Prove the theorem

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 ü E; such i = 1 that P (A) > 0, we have P (Ε) P ( ΙΕ) P (E; I A) = P (E;) P (A | E;) Р (A) ;i = 1, 2, ..., n ..r Σ Ρ(Ε) P (AΑΙ Ε) i = 1 11
Transcribed Image Text: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 ü E; such i = 1 that P (A) > 0, we have P (Ε) P ( ΙΕ) P (E; I A) = P (E;) P (A | E;) Р (A) ;i = 1, 2, ..., n ..r Σ Ρ(Ε) P (AΑΙ Ε) i = 1 11
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS