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A particular region is served by three pre-paid mobile providers: T-Portable, Horizon, and NT&T. In the current quarter, 39% of customers had plans with T-Portable,
A particular region is served by three pre-paid mobile providers: T-Portable, Horizon, and NT\&T. In the current quarter, 39% of customers had plans with T-Portable, 34% had plans with Horizon, and 27% had plans with NT\&T. Based on market research, the consumer provider-switching behavior can be characterized by the transition probability matrix P=0.760.120.140.110.710.190.130.170.67 where rows 1, 2, and 3 represent the state in quarter i for T-Portable, Horizon, and NT\&T, respectively, and the columns in the same order represent the state in quarter i+1. Determine the predicted market shares for the three providers in the next quarter. (Include at least three decimal places in your answers.)
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