(a)
To calculate: A stochastic matrix displaying the following transitions. A retailer sells three brands of cereal. A survey is taken of 5000 people who buy cereal weekly from this retailer. Crispy Flakes loses 12% of its customers to Crunchy Nuggets and 19% to Toasty Cinnamon Twists every week. Crunchy Nuggets loses 16% of its customers to Crispy Flakes and 10% of its customers to Toasty Cinnamon Twists, and Toasty Cinnamon Twists loses 20% of its customers to Crispy Flakes and 14% to Crunchy Nuggets.
(b)
To calculate: The number of people who will buy Toasty Cinnamon Twists in two weeks given that, this week, 1500 people bought Crispy Flakes. 1500 bought Crunchy Nuggets, and 2000 people bought Toasty Cinnamon twists.
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Finite Mathematics & Its Applications (12th Edition)
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