Question

construct all needed tables for the solutions Consider the following Bayesian Network, where variables A-D are all Boolean-valued: A P(A=T) = 0.2 B P(B=T)=0.7 C A B P(C=T| A,B) F F 0.1 F T 0.5 T F 0.4 T T 0.9 B C P(D=T| B,C) F F 0.8 F T 0.6 T F 0.3 T T 0.1 D What is the probability that all four of these Boolean variables are false? What is the probability that C is true, D is false, and B is true?

          construct all needed tables for the solutions
Consider the following Bayesian Network, where variables A-D are all Boolean-valued:
A
P(A=T) = 0.2
B
P(B=T)=0.7
C
A
B
P(C=T| A,B)
F
F
0.1
F
T
0.5
T
F
0.4
T
T
0.9
B
C
P(D=T| B,C)
F
F
0.8
F
T
0.6
T
F
0.3
T
T
0.1
D
What is the probability that all four of these Boolean variables are false?
What is the probability that C is true, D is false, and B is true?

construct all needed tables for the solutions
Consider the following Bayesian Network, where variables A-D are all Boolean-valued:
A
P(A=T) = 0.2
B
P(B=T)=0.7
C
A
B
P(C=T| A,B)
F
F
0.1
F
T
0.5
T
F
0.4
T
T
0.9
B
C
P(D=T| B,C)
F
F
0.8
F
T
0.6
T
F
0.3
T
T
0.1
D
What is the probability that all four of these Boolean variables are false?
What is the probability that C is true, D is false, and B is true?

Added by Sarah C.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Rabeya Zahid

Step 1

2 | | False| 0.8 | Table for P(B=T): | B | P(B=T) | |------|--------| | True | 0.7 | | False| 0.3 | Table for P(C=T|A,B): | A | B | C | P(C=T|A,B) | |------|------|------|------------| | True | True | True | 0.1 | | True | True | Show more…

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Construct all needed tables for the solutions. Consider the following Bayesian Network, where variables A-D are all Boolean-valued: P(A=T)=0.2 P(B=T)=0.7 A B F F F T T F T T P(C=T|A,B) 0.1 0.5 0.4 0.9 D B F F F T T F T T P(D=T|B,C) 0.8 0.6 0.3 0.1 What is the probability that all four of these Boolean variables are false? What is the probability that C is true, D is false, and B is true?