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Let Ω = {1, 2, 3, 4} and P be a discrete uniform distribution over the set Ω. Let A = B = {2, 3} and C = {3, 4}. (1) Are events A and B independent? (2) Are events A and C independent? (3) Are events A, B, C mutually independent?

Let Ω = {1, 2, 3, 4} and P be a discrete uniform distribution over the set Ω. Let A = B = {2, 3} and C = {3, 4}. (1) Are events A and B independent? (2) Are events A and C independent? (3) Are events A, B, C mutually independent?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Let Ω = {1, 2, 3, 4} and P be a discrete uniform distribution over the set Ω. Let A = B = {2, 3} and C = {3, 4}.
(1) Are events A and B independent?
(2) Are events A and C independent?
(3) Are events A, B, C mutually independent?

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