Suppose that the probability that tomorrow will be a wet day is 0.662 if today is wet and 0.250 if today is dry. The probability that tomorrow will be a dry day is 0.750 if today is dry and 0.338 if today is wet (a) Write down the transition matrix for this Markov chain. (b) If Monday is a dry day, what is the probability that Wednesday will be wet? ( c) In the long run, what will the distribution of wet and dry days be?

Suppose that the probability that tomorrow will be a wet day is 0.662 if today is wet and 0.250 if today is dry. The probability that tomorrow will be a dry day is 0.750 if today is dry and 0.338 if today is wet (a) Write down the transition matrix for this Markov chain. (b) If Monday is a dry day, what is the probability that Wednesday will be wet? ( c) In the long run, what will the distribution of wet and dry days be?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 9EQ

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