8. Suppose A and B are events satisfying Pr(A) = 0.7, Pr(B) = 0.4 and Pr(AUB) = 0.9 (a) Find Pr(An B). (b) Are A and B mutually exclusive? Justify your answer. (c) Find Pr(AN B'). (d) Find Pr(A' | B). (e) Are A and B independent events? Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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8. Suppose A and B are events satisfying
Pr(A) = 0.7,
Pr(B)
0.4 and Pr(AU B) = 0.9
(a) Find Pr(AN B).
(b) Are A and B mutually exclusive? Justify your answer.
(c) Find Pr(AN B').
(d) Find Pr(A' | B).
(e) Are A and B independent events? Justify your answer.
Transcribed Image Text:8. Suppose A and B are events satisfying Pr(A) = 0.7, Pr(B) 0.4 and Pr(AU B) = 0.9 (a) Find Pr(AN B). (b) Are A and B mutually exclusive? Justify your answer. (c) Find Pr(AN B'). (d) Find Pr(A' | B). (e) Are A and B independent events? Justify your answer.
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