A cellphone provider classifies its customers as low users (less than 400 minutes per month) or high users (400 or more minutes per month). Studies have shown that 40%  of people who were low users one month will be low users the next month and that 30% of the people who were high users one month will high users next month.  a. Set up a 2x2 stochastic matrix with columns and rows labeled L and H that displays these transitions

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.
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A cellphone provider classifies its customers as low users (less than 400 minutes per month) or high users (400 or more minutes per month). Studies have shown that 40%  of people who were low users one month will be low users the next month and that 30% of the people who were high users one month will high users next month. 

a. Set up a 2x2 stochastic matrix with columns and rows labeled L and H that displays these transitions

 

b. After many months, how many % of the customers are high users

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