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  3. [2022] Hebrew - 67715 Introduction To Multiagent Systems - Assignment - Q2 Decision Network

[2022] Hebrew - 67715 Introduction To Multiagent Systems - Assignment - Q2 Decision Network

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2. You are preparing to go for a bike ride and are trying to decide whether to use your thin road tires or your thicker, knobbier tires. The advantage of the thin road tires is that you can ride much faster. But, you know from previous experience that your road tires are more likely to go flat during a ride. There is a 40% chance your road tires will go flat but only a 10% chance that the thicker tires will go flat. Because of the risk of a flat, you also have to decide whether or not to bring your tools along on the ride (a pump, tire levers and a puncture kit). These tools will weigh you down. CourseNana.COM

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The utilities of different cases are given in Table Q2 below. CourseNana.COM

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Which tire to use         Whether tire goes flat             Whether to bring tools            Utility CourseNana.COM

Road tire                      Yes                                           Yes                                           50 CourseNana.COM

Thicker tire                  Yes                                           Yes                                           40 CourseNana.COM

Road tire                      No                                            Yes                                           75 CourseNana.COM

Thicker tire                  No                                            Yes                                           65 CourseNana.COM

Road tire                      Yes                                           No                                            0 CourseNana.COM

Thicker tire                  Yes                                           No                                            0 CourseNana.COM

Road tire                      No                                            No                                            100 CourseNana.COM

Thicker tire                  No                                            No                                            75    CourseNana.COM

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(a) What are the three types of nodes in a decision network for this problem? Draw the decision network. (10 marks) CourseNana.COM

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 (b) What is the optimal decision? What is the expected utility of the optimal decision? Show clearly the detailed steps of deriving your answers. (15 marks) CourseNana.COM

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