[2] An enchanted village is inhabited by vampires, zombies, and goblins. Every full moon: 25% of zombies turn into vampires 10% of zombies turn into goblins 65% remain as zombies 20% of vampires turn into zombies 5% of vampires turn into goblins 75% stay as vampires 5% of goblins turn into vampires 30% of goblins turn into zombies 65% stay as goblins a) Suppose that you want to model this situation using Markov chains. What are the state vector and transition matrix? b) What are the percentages of vampires, zombies, and goblins when the sys- tem reaches its stationary position? Is the stationary distribution you found globally stable? Explain.

[2] An enchanted village is inhabited by vampires, zombies, and goblins. Every full moon: 25% of zombies turn into vampires 10% of zombies turn into goblins 65% remain as zombies 20% of vampires turn into zombies 5% of vampires turn into goblins 75% stay as vampires 5% of goblins turn into vampires 30% of goblins turn into zombies 65% stay as goblins a) Suppose that you want to model this situation using Markov chains. What are the state vector and transition matrix? b) What are the percentages of vampires, zombies, and goblins when the sys- tem reaches its stationary position? Is the stationary distribution you found globally stable? Explain.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.CR: Review Exercises

Problem 70CR: Classified Documents A courtroom has 2000 documents, of which 1250 are classified. Each week, 10 of...

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