[2021] COMPSCI 367 Artificial Intelligence - Final Exam - Question 20 Decision Network
20 Consider a student who is completing an online exam. She has the choice of cheating by paying someone else to do the exam. But if she does this, there is a chance that she will be caught by the lecturer and fail the course. She would like to construct a decision network to make the decision. There is a single decision node, A, indicating whether the student chooses to cheat or not. There are two chance nodes, B, indicating whether she is caught cheating, and C, indicating whether she passes the exam. The utility of the student depends on whether she passes the exam, and whether she cheats. The cost of cheating is 100 for paying the other person to do the exam. The cost of failing the course is 1000. The utility is the negation of the total cost (i.e., the sum of the cost of cheating and the cost failing, if there is any).
The conditional probability estimates are as follows:
P(B | A) = 0.6 P(B | not A) = 0
P(C | A, B) = P(C | not A, B) = 0 P(C | A, not B)=0.9
P(C | not A, not B)=0.5
- Construct the decision network for this problem. In the textbox, list all the directed edges in the decision network.
Remark: An edge from node x to node y can be written as (x,y). - Compute the expected utility of cheating and not cheating.
- What should the student choose?
The answers to all questions are meant to go into the one textbox at the bottom of the question.
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