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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 80%  of people who were low users one month will be low users the next month, and that 70% 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. Suppose that during the month of January, 50% of the customers are low users. What percent of customers will be low users in February? In March?

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 80%  of people who were low users one month will be low users the next month, and that 70% 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. Suppose that during the month of January, 50% of the customers are low users. What percent of customers will be low users in February? In March?

Elementary Linear Algebra (MindTap Course List)
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 80%  of people who were low users one month will be low users the next month, and that 70% 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. Suppose that during the month of January, 50% of the customers are low users. What percent of customers will be low users in February? In March? 

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