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Consider the following Bayesian Network, where variables A to D are all Boolean-valued: A P(A=true) = = 0.2 A B false false false true true false true true P(C =true | A, B) 0.1 0.5 0.4 0.9 Show all solutions: What is the probability that a) all four of these Boolean variables are false? b) C is true, D is false, and B is true? c) C is true given that D is false and B is true? B P(B=true) = = 0.7 B false false true true C false true false true P(D=true | B,C) 0.8 0.6 0.3 0.1

Consider the following Bayesian Network, where variables A to D are all Boolean-valued: A P(A=true) = = 0.2 A B false false false true true false true true P(C =true | A, B) 0.1 0.5 0.4 0.9 Show all solutions: What is the probability that a) all four of these Boolean variables are false? b) C is true, D is false, and B is true? c) C is true given that D is false and B is true? B P(B=true) = = 0.7 B false false true true C false true false true P(D=true | B,C) 0.8 0.6 0.3 0.1

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 32E
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Artificial Intelligence problem. Please Help me! Show your solution. Thank you(Don't Hand writing in solution) .

Consider the following Bayesian Network, where variables A to D are all Boolean-valued: A B P(A=true) = 0.2 A B false false false true true false true true P(C =true | A, B) 0.1 0.5 0.4 0.9 C Show all solutions: What is the probability that a) all four of these Boolean variables are false? b) C is true, D is false, and B is true? c) C is true given that D is false and B is true? D P(B=true) = 0.7 B C false false false true true false true true P(D=true | B,C) 0.8 0.6 0.3 0.1
Transcribed Image Text:Consider the following Bayesian Network, where variables A to D are all Boolean-valued: A B P(A=true) = 0.2 A B false false false true true false true true P(C =true | A, B) 0.1 0.5 0.4 0.9 C Show all solutions: What is the probability that a) all four of these Boolean variables are false? b) C is true, D is false, and B is true? c) C is true given that D is false and B is true? D P(B=true) = 0.7 B C false false false true true false true true P(D=true | B,C) 0.8 0.6 0.3 0.1
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