A rat is put into compartment 3 of a maze and moves through the compartments at random. The experiment is stopped once the rat reaches compartment 1 or 5. 5 Food 4 3 1 Shock 2 (a) Find the transition probability matrix. 5 (b) What is the probability that the rat finds the food in compartment before the electric shock in compartment ? Use the first-step analysis 1 (c) What is the average time until the experiment is stopped?

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A rat is put into compartment 3 of a maze and moves through the compartments at random. The
experiment is stopped once the rat reaches compartment 1 or 5.
5
Food
4
3
1
Shock
2
(a) Find the transition probability matrix.
(b) What is the probability that the rat finds the food in compartment before the electric shock
in compartment ? Use the first-step analysis
1
(c) What is the average time until the experiment is stopped?
5
Transcribed Image Text:A rat is put into compartment 3 of a maze and moves through the compartments at random. The experiment is stopped once the rat reaches compartment 1 or 5. 5 Food 4 3 1 Shock 2 (a) Find the transition probability matrix. (b) What is the probability that the rat finds the food in compartment before the electric shock in compartment ? Use the first-step analysis 1 (c) What is the average time until the experiment is stopped? 5
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