Question: ending machine A vending machine can be in two states, (0=working, 1=out of order). If the machine is working on a particular day it will

ending machine A vending machine can be in two states, (0=working, 1=out of order). If the machine is working on a particular day it will be out of order with probability on the next day. If the machine is out of order on a particular day then the probability that it will be working the next day is . a. Write down the one step transition probability matrix for the vending machine. [4 marks] b. Assume the machine is working on Monday. What is the probability that the machine will remain working on all of Tuesday, Wednesday and Thursday? [2 marks] c. Assume the machine is working on Monday. What is the probability that the machine will be working on Thursday? [4 marks] d. Calculate the equilibrium probabilities for the states of the vending machine

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