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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