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Mice in a T-maze have the choice of turning left and are rewarded with cheese...

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Accounting

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Mice in a T-maze have the choice of turning left and are rewarded with cheese or turning right to receive cheese with a mild shock. After the first day, their decision is influenced by what happened on the previous day. Of those that go left on a certain day, 90% go to the left on the next day. Of those that go right on a certain day, 30% will go to the right the next day. What percentage of mice will be going to the left after many days (finding a long term trend means to just do many generations until it settles into a percentage)? a) Write a transition matrix based on the information given. b) If the initial distribution shows that of the mice that go right on a certain day 70% will go left the next day and 30% go to the right, find the first generation distribution of mice. c) Find an approximation for the long tem trend

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