This exercise analyzes in more detail the persistent-failure model for the battery sensor in Figure battery-persistence-figure(a) (page battery-persistence-figure).
1. Figure battery-persistence-figure(b) stops at $t=32$. Describe qualitatively what should happen as $t\to\infty$ if the sensor continues to read 0.
2. Suppose that the external temperature affects the battery sensor in such a way that transient failures become more likely as temperature increases. Show how to augment the DBN structure in Figure battery-persistence-figure(a), and explain any required changes to the CPTs.
3. Given the new network structure, can battery readings be used by the robot to infer the current temperature?

This exercise analyzes in more detail the persistent-failure model for the battery sensor in Figure battery-persistence-figure(a) (page battery-persistence-figure).
1. Figure battery-persistence-figure(b) stops at $t=32$. Describe qualitatively what should happen as $t\to\infty$ if the sensor continues to read 0.
2. Suppose that the external temperature affects the battery sensor in such a way that transient failures become more likely as temperature increases. Show how to augment the DBN structure in Figure battery-persistence-figure(a), and explain any required changes to the CPTs.
3. Given the new network structure, can battery readings be used by the robot to infer the current temperature?





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