Question: An engineering professor purchases a new computer every two year with preferences for three models: M1, M2, and M3. If the present model is M1,

An engineering professor purchases a new computer every two year with preferences for three models: M1, M2, and M3. If the present model is M1, the next computer may be M2 with probability 0.2 or M3 with probability 0.15. if the present model is M2, the probabilities of switching to M1 or M3 are 0.6 and 0.25, respectively. And, if the present model is M3, then the probabilities of switching to M1 or M2 are 0.5 and 0.1, respectively.

a) Represent this situation as a Markov chain.

b) Determine the probability that the professor will purchase the current model in four years.

c) Classify the states of the Markov chain.

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