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  3. a taxicab driver moves between the airport a and two...

Question: a taxicab driver moves between the airport a and two...

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(4) A taxicab driver moves between the airport A and two hotels B and C according to the following rules. If he is at the airport, he will be at one of the two hotels next with equal probability. If at a hotel then he returns to the airport with probability 3/4 and goes to the other hotel with probability 1/4. (a) ind the transition matrix for the chain. (b) Suppose the driver begins at the airport at time 0. Then find the probability for each of his three possible locations at time 2 and the probability he is at hotel B at time 3.

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