Question: A rat is trapped in a maze. Initially he has to choose one of two directions. If he goes to the right, then he will wander around in the maze for three minutes and will then return to his initial position. If he goes to the left, with probability he will depart the maze after two minutes of traveling, and with probability he will return to his initial position after five minutes of traveling. Assuming that this (dumb) rat is at all times equally likely to go the left or to the right, what is the expected number of minutes that he will be trapped in the maze?
Question: A rat is trapped in a maze. Initially he has to choose one of two directions. If he goes to the right, then he will wander around in the maze for three minutes and will then return to his initial position. If he goes to the left, with probability he will depart the maze after two minutes of traveling, and with probability he will return to his initial position after five minutes of traveling. Assuming that this (dumb) rat is at all times equally likely to go the left or to the right, what is the expected number of minutes that he will be trapped in the maze?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question: A rat is trapped in a maze. Initially he has to choose one of two directions. If he goes to
the right, then he will wander around in the maze for three minutes and will then return to his initial
position. If he goes to the left, with probability he will depart the maze after two minutes of traveling,
and with probability he will return to his initial position after five minutes of traveling. Assuming that
this (dumb) rat is at all times equally likely to go the left or to the right, what is the expected number of
minutes that he will be trapped in the maze?
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