Answer to Question #193993 in Statistics and Probability for Faysal

Question #193993

A robot-controlled joystick may be helpful for many disabled people as electric 

wheelchairs are difficult to maneuver for many disabled people. From a certain location in a room, a wheelchair user will either (1) turn sharply to the left and navigate through a door, (2) proceed straight to the other side of the room, or (3) turn slightly right and stop at a table. Denote these three events as D (for door), S (for other side of the room), and T (for 

table). Based on the previous trips, P(D) = 0.5, P(S) = 0.2, P(T) = 0.3. The wheelchair is 

installed with a robot-controlled joystick. When the user intends to go through the door, he points the joystick straight 30% of the time; when the user intends to go straight, he points the joystick straight 40% of the time; and, when the user intends to go to the table, he points the joystick straight 5% of the time. If the wheelchair user points the joystick straight, what 

is her most likely destination?


1
Expert's answer
2021-05-17T18:44:42-0400

P(D) = 0.5, P(S) = 0.2, P(T) = 0.3.


for straight- 40% joystick

For table - 5% joystick

For wheel chair- Joystick straight


As the three events occurs with the probability given in the question as- P(D),P(S) and P(T) respectively.


After all the Incidents like opening the door, go straight, turn around the table.

The most likely destination is the left side door. because, The probability of occurring this event is far greater than other events.



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