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42. Consider the following joint probability table. B₁ B2 B3 B4 A 0.09 0.22 0.15 0.20 A 0.03 0.10 0.09 0.12 a. What is the probability that A occurs? b. What is the probability that B2 occurs? c. What is the probability that A and B4 occur? d. What is the probability that A or B3 occurs? e. Given that B₂ has occurred, what is the probability that A occurs? f. Given that A has occurred, what is the probability that B4 occurs?

42. Consider the following joint probability table. B₁ B2 B3 B4 A 0.09 0.22 0.15 0.20 A 0.03 0.10 0.09 0.12 a. What is the probability that A occurs? b. What is the probability that B2 occurs? c. What is the probability that A and B4 occur? d. What is the probability that A or B3 occurs? e. Given that B₂ has occurred, what is the probability that A occurs? f. Given that A has occurred, what is the probability that B4 occurs?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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42. Consider the following joint probability table. B₁ B2 B3 B4 A 0.09 0.22 0.15 0.20 A 0.03 0.10 0.09 0.12
Transcribed Image Text:42. Consider the following joint probability table. B₁ B2 B3 B4 A 0.09 0.22 0.15 0.20 A 0.03 0.10 0.09 0.12
a. What is the probability that A occurs? b. What is the probability that B2 occurs? c. What is the probability that A and B4 occur? d. What is the probability that A or B3 occurs? e. Given that B₂ has occurred, what is the probability that A occurs? f. Given that A has occurred, what is the probability that B4 occurs?
Transcribed Image Text:a. What is the probability that A occurs? b. What is the probability that B2 occurs? c. What is the probability that A and B4 occur? d. What is the probability that A or B3 occurs? e. Given that B₂ has occurred, what is the probability that A occurs? f. Given that A has occurred, what is the probability that B4 occurs?
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