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In a survey we conducted focused on owners of Toyota, Nissan, Subaru, and Mitsubishi vehicles, we gathered data on their preferences for their next vehicle in the event of a change from their current one. 60% of them remain loyal to the same brand in the subsequent purchase. Among those who have a Toyota now, 25% shift their preference to Nissan, 5% shift to Subaru, and 10% to Mitsubishi. Similarly, among those having a Nissan now, 20% will buy a Toyota next, 15% will get a Subaru, and the rest a Mitsubishi. Meanwhile, among the current owners of a Subaru, 10% of them will switch to Toyota, 10% shift to Nissan, and the rest to Mitsubishi. For Mitsubishi owners, 10% of them switch to Toyota and all the rest to Subaru.
Find the state Markov transition matrix for the above system.
Sagot :
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