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?

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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