In a city, a study has disclosed that the relationships between the occurrences of a dry day and a wet day in December. From the historical records, the study has shown that the probabilities of a dry day following a dry day and a wet day are 0.95 and 0.70, respectively, in December. Consider a 2-state first order Markov chain for a sequence of dry and wet days. Generate the transitional probability matrix for the relationships between dry and wet days in December. Determine the numbers of dry days and wet days in December over a long period.

In a city, a study has disclosed that the relationships between the occurrences of a dry day and a wet day in December. From the historical records, the study has shown that the probabilities of a dry day following a dry day and a wet day are 0.95 and 0.70, respectively, in December. Consider a 2-state first order Markov chain for a sequence of dry and wet days. Generate the transitional probability matrix for the relationships between dry and wet days in December. Determine the numbers of dry days and wet days in December over a long period.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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