3.74 An experiment results in one of three mutually exclusive events A, B, and C. It is known that P(A) = .30, P(B) = .55, and P(C) = .15, Find each of the following probabilities: а. Р(AU B) b. P(AN B)) с. Р(A|В) d. P(BUC)) e. Are B and C independent events? Explain.

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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3.74 An experiment results in one of three mutually exclusive events
A, B, and C. It is known that P(A) = .30, P(B) = .55, and
P(C) = .15, Find each of the following probabilities:
а. Р(AU B)
b. P(AN B))
с. Р(A|В)
d. P(BUC))
e. Are B and C independent events? Explain.
Transcribed Image Text:3.74 An experiment results in one of three mutually exclusive events A, B, and C. It is known that P(A) = .30, P(B) = .55, and P(C) = .15, Find each of the following probabilities: а. Р(AU B) b. P(AN B)) с. Р(A|В) d. P(BUC)) e. Are B and C independent events? Explain.
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