Solve the problem.A particle moves every second on the x-axis in one-unit jumps such that its coordinate at any time is 0, 1, 2, or 3. If the particle is at 0 or 3, it does not move. On the other hand, if it is at 1 or 2, it will move to the right with probability 
and to the left with probability 
.(a) Give the stochastic matrix of transitions for this process in standard form.(b) Determine the fundamental matrix F.(c) What is the expected number of times the particle will be at 1 if it starts at 2?(d) What is the expected time before absorption of the particle if it
starts at 2?
What will be an ideal response?
| (a) |  |
(b)
F =
(c) 
(d) 
Mathematics
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A. - 
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B. (2, 7)
C. [2, 7]
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