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-8. a. Show that if A and B are independent, then P(A|B) = P(A). b. Say we have sets A, B, and C (do not assume independence). Show that P(AN Bn C) = %3D P(A|BNC)P(B|C)P(C).

-8. a. Show that if A and B are independent, then P(A|B) = P(A). b. Say we have sets A, B, and C (do not assume independence). Show that P(AN Bn C) = %3D P(A|BNC)P(B|C)P(C).

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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8. a. Show that if A and B are independent, then \( P(A|B) = P(A) \). b. Say we have sets A, B, and C (do not assume independence). Show that \[ P(A \cap B \cap C) = P(A|B \cap C)P(B|C)P(C). \]
Transcribed Image Text:8. a. Show that if A and B are independent, then \( P(A|B) = P(A) \). b. Say we have sets A, B, and C (do not assume independence). Show that \[ P(A \cap B \cap C) = P(A|B \cap C)P(B|C)P(C). \]
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