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4. (Modification of Problem 29.3-1, page 32, of Hillier & Lieberman text, 10th e

ID: 3128647 • Letter: 4

Question

4. (Modification of Problem 29.3-1, page 32, of Hillier & Lieberman text, 10th edition) Reconsider Prob. 29.2-1 (i.e., Problem #1 of this homework).

(a) Use the procedure Chapman-Kolmogorov Equations in your class handout to find the n-step transition matrix P(n) for n = 2, 5, 10, 20 (1 point).

(b) The probability that it will rain today is 0.5. Use the results from part (a) to determine the probability that it will rain n days from now, for n = 2, 5, 10, 20 (1 point).

(c) Use the procedure Steady-State Probabilities in your class handout to determine the steadystate probabilities of the state of the weather. Describe how the probabilities in the n-step transition matrices obtained in part (a) compare to these steady-state probabilities as n grows large (1 point).

Explanation / Answer

What is the question 29.3-1?? Please provide the question.

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