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P(A) =0.8 Let P(AC) = .2, P(A U B) = .95, and P(B|A) = .8. Find P(B) and then determine whether or not events A and B are independent and/or mutually exclusive. 006 a ald

P(A) =0.8 Let P(AC) = .2, P(A U B) = .95, and P(B|A) = .8. Find P(B) and then determine whether or not events A and B are independent and/or mutually exclusive. 006 a ald

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Let \( P(A^c) = 0.2 \), \( P(A \cup B) = 0.95 \), and \( P(B|A) = 0.8 \). Find \( P(B) \) and then determine whether or not events A and B are independent and/or mutually exclusive.
Transcribed Image Text:Let \( P(A^c) = 0.2 \), \( P(A \cup B) = 0.95 \), and \( P(B|A) = 0.8 \). Find \( P(B) \) and then determine whether or not events A and B are independent and/or mutually exclusive.
Expert Solution
Step 1

Given

P(Ac)=0.20, P(AUB)=0.95 

P(B|A)=0.80

 

 

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