# Question: Reconsider Prob 29 2 1 a Use the procedure Chapman Kolmogorov Equations in your

Reconsider Prob. 29.2-1.

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

(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.

(c) Use the procedure Steady-State Probabilities in your IOR Tutorial to determine the steady-state 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.

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

(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.

(c) Use the procedure Steady-State Probabilities in your IOR Tutorial to determine the steady-state 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.

## Answer to relevant Questions

Read the referenced article that fully describes the OR study summarized in the application vignette presented in Sec. 1.4. List the various financial and nonfinancial benefits that resulted from this study. Read pp. 603–617 of Selected Reference 3. (a) What does the author say about whether a model can be completely validated? (b) Summarize the distinctions made between model validity, data validity, logical/mathematical ...Read Selected Reference A10 that describes an OR study done for the Health Department of New Haven, Connecticut. (a) Summarize the background that led to undertaking this study. (b) Outline the system developed to track and ...Consider the following problem, where the value of c1 has not yet been ascertained. Maximize Z = c1x1 + x2, Subject to and x1 ≥ 0, x2 ≥ 0. Suppose that a communications network transmits binary digits, 0 or 1, where each digit is transmitted 10 times in succession. During each transmission, the probability is 0.995 that the digit entered will be transmitted ...Post your question