Assume a robot equipped with a sensor that can detect the state of a door. For simplicity, let us assume that the door could be in only one of two possible states, open or closed. Let us now assume the robot's sensors are noisy. The noise is characterised by the following conditional probabilities: (Z-observation, X-door state) p(Z=sense_open | X = is_open) = 0.85 p(Z=sense_closed | X = is_closed) = 0.99 What is the value of the conditional probability p(Z=sense_closed | X = is_open)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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Assume a robot equipped with a sensor that can detect the state of a door. For simplicity, let us assume that the door could be in only one of two possible states, open or closed. Let us now assume the robot's sensors are noisy. The noise is characterised by the following conditional probabilities: (Z-observation, X-door state) p(Z=sense_open | X = is_open) = 0.85 p(Z=sense_closed | X = is_closed) = 0.99 What is the value of the conditional probability p(Z=sense_closed | X = is_open)

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