A bclilvioral psychologist places a rnt each day in a cage wilh two doors, A and 8. TIle

Chapter 8, Problem 10

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A bclilvioral psychologist places a rnt each day in a cage wilh two doors, A and 8. TIle rat can go through door A. where it recei\'es an electri c shock. or through door 8. where it receives some food. A [.!Cord is made of the door through which the rut passes. At the stan of the experiment, on a Monday, the rat is Cl.Jually likely 10 go through door A a.~ through door 8. After going through door A and receiving a shock. the probability of going through the same door on the next day is 0.3. After going through door 8 and receiving food. the probability of going through lhe same door on the nexi day is 0.6. (a) Write the r~nsilion 111Ulrix for Ihe Markov process. (b) Whm is Ihe probnbility of lhe ral going Ihrough door A on Thursday (the third day after tarting Ihe exper iment)"' (e) What is the StelldY'~lat e vector'!

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