1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c) Compute P(A | B). (d) Compute P(B | A). (e) Compute P(B | AC). (f) Are A and B independent? Explain. (g) Are A and B mutually exclusive? Explain.
1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c) Compute P(A | B). (d) Compute P(B | A). (e) Compute P(B | AC). (f) Are A and B independent? Explain. (g) Are A and B mutually exclusive? Explain.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 32E
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![1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10.
(a) Compute P(AC).
(b) Compute P(AUB).
(c) Compute P(A | B).
(d) Compute P(B | A).
(e) Compute P(B | AC).
(f) Are A and B independent? Explain.
(g) Are A and B mutually exclusive? Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0db66b4-6d7a-46e4-9c57-98cfdf821e07%2F2b952c89-9149-438c-a0d1-f61f60568abf%2Fvlz91a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10.
(a) Compute P(AC).
(b) Compute P(AUB).
(c) Compute P(A | B).
(d) Compute P(B | A).
(e) Compute P(B | AC).
(f) Are A and B independent? Explain.
(g) Are A and B mutually exclusive? Explain.
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