Question: Suppose that an object is moving according to the following transition model: Here, 0 < p < 1 and 0 < q < 1 are

Suppose that an object is moving according to the following transition model: 

P A 1- n 9 B 1-q 1

Here, 0

a. What is the probability that the object is in A at time n ≥ 0? 

b. What is the probability that the object first reaches B at time n ≥ 1? 

c. What is the probability that the object is in B at time n ≥ 1? 

d. What is the probability that the object first reaches C at time n ≥ 2?

e. What is the probability that the object is in C at time n ≥ 2?

P A 1- n 9 B 1-q 1

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