Question

a. Suppose the following Bayesian network describes the joint distribution over Boolean random variables A, B, and C given in the table below. Give the conditional probability tables that parameterize the network. Explain how you get your answers. ABC Pr(A,B,C) A FFF 0.48 F F T 0.00 F T F 0.32 B C F T T 0.00 T F F 0.018 T F T 0.162 T T F 0.002 T T T 0.018

          a. Suppose the following Bayesian network describes the joint distribution over Boolean
random variables A, B, and C given in the table below. Give the conditional probability
tables that parameterize the network. Explain how you get your answers.
ABC Pr(A,B,C)
A
FFF
0.48
F
F
T
0.00
F
T
F
0.32
B
C
F
T
T
0.00
T
F
F
0.018
T
F
T
0.162
T
T
F
0.002
T
T
T
0.018

a. Suppose the following Bayesian network describes the joint distribution over Boolean
random variables A, B, and C given in the table below. Give the conditional probability
tables that parameterize the network. Explain how you get your answers.
ABC Pr(A,B,C)
A
FFF
0.48
F
F
T
0.00
F
T
F
0.32
B
C
F
T
T
0.00
T
F
F
0.018
T
F
T
0.162
T
T
F
0.002
T
T
T
0.018

Added by Clara S.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Brooke Bussoletti

Step 1

- The graph has A as a parent of B and C, so the joint distribution factorizes as P(A,B,C) = P(A) · P(B | A) · P(C | A). Show more…

Show all steps

Thanks for your feedback!

Suppose the following Bayesian network describes the joint distribution over Boolean random variables A, B, and C given in the table below. Give the conditional probability tables that parameterize the network. Explain how you get your answers. A B C Pr(A,B,C) A F F 0.48 A F T 0.00 A T F 0.32 A T T 0.00 B F F 0.062 B F T 0.008 B T F 0.162 B T T 0.002 C F F 0.018