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Theorem 3-13. Necessary and sufficient condition for independence of n events A1, A2, ..., An is that the probability of their simultaneous happening is equal to the product of their respective probabilities, i.e., P (A10A20...An) = P(A;) P(A,) P(A3) ... P(A,) %3D

Theorem 3-13. Necessary and sufficient condition for independence of n events A1, A2, ..., An is that the probability of their simultaneous happening is equal to the product of their respective probabilities, i.e., P (A10A20...An) = P(A;) P(A,) P(A3) ... P(A,) %3D

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
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Prove the theorem

Theorem 3.13. Necessary and sufficient condition for independence of n events A1, A2, ..., An is that the probability of their simultaneous happening is equal to the product of their respective probabilities, i.e., ••• P (A10A20... n An) = P(A;) P(A2) P(A3) ... P(A,) %3D
Transcribed Image Text:Theorem 3.13. Necessary and sufficient condition for independence of n events A1, A2, ..., An is that the probability of their simultaneous happening is equal to the product of their respective probabilities, i.e., ••• P (A10A20... n An) = P(A;) P(A2) P(A3) ... P(A,) %3D
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