A wheelchair user may either (1) turn abruptly left and approach a door, (2) go straight to the opposite side of the room, or (3) turn slightly right and halt at a table.   D (for door), S (straight), and T (for time) (for table). P(D) = 0.4, P(S) = 0.25, and P(T) = 0.35. The wheelchair has a joystick operated by a robot. The user directs the joystick straight 50% of the time while going through the door, 30% of the time when going straight, and 25% of the time when going to the table.   What is her most likely destination, calculate based on P(D|J), P(S|J) and P(T|J)?

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Many handicapped individuals struggle using electric wheelchairs. Researchers used Bayes' rule to assess a “intelligent” robotic controller that attempts to record a wheelchair user's intent and assist in navigation. Consider the situation below.

 

A wheelchair user may either (1) turn abruptly left and approach a door, (2) go straight to the opposite side of the room, or (3) turn slightly right and halt at a table.

 

D (for door), S (straight), and T (for time) (for table). P(D) = 0.4, P(S) = 0.25, and P(T) = 0.35. The wheelchair has a joystick operated by a robot. The user directs the joystick straight 50% of the time while going through the door, 30% of the time when going straight, and 25% of the time when going to the table.

 

What is her most likely destination, calculate based on P(D|J), P(S|J) and P(T|J)?

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