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 First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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