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COMP9322 Assignment Building a Chatbot
1. The following network is a Hidden Markov Model:
If we have evidence about Y1 and Y2, and we establish the probability of
X1, what kind of inference is this?
[4 marks]
A. Prediction
B. Filtering
C. Smoothing
D. Flattening
E. None of the above
2. The random variables Y and Z are non-interacting causes of X. Given the
conditional probability values P(:xjy) = 0:1 and P(xjz) = 0:3, what does
the Noisy Or model give as the value of P(xjy; z)?
[4 marks]
A. 0.9
B. 0.93
C. 0.27
D. 0.6
E. 0.28
3. Consider the joint probability table for the three binary variables P, Q and
R:
A. 0.113
B. 0.217
C. 0.51
D. 0.636
E. None of the above
4. Consider the joint probability table for the three binary variables P, Q and
R:
A. 0.212
B. 0.493
C. 0.438
D. 0.514
E. None of the above
5. Consider the joint probability table for the three binary variables P, Q and
R:
A. a number in (0; 0:1]
B. a number in (0:1; 0:2]
C. a number in (0:2; 0:3]
D. a number in (0:4; 0:5]
E. None of the above
6. Consider the following normal form game:
Identify any Pareto optimal outcomes:
A. (U, L)
B. (U, R)
C. (D, L)
D. (D, R)
E. There are none