Concept explainers
(a)
To calculate: A 3 x 3 stochastic matrix that describes the following situation.
A college cafeteria offers three choices of dessert for lunch: ice cream (I), cake (C), and pie (P). A study of the students who order dessert every day showed that, of those students who order I on a certain day, the next day 60% of these students will order I and the others will be equally likely to order C or P. Of the students who order C on a certain day, the next day 40% of these students will order C and the others will be equally likely to order I or P. Of the students who order P on a certain day, the next day 80% of these students will order P and the others will be equally likely to order I or C.
(b)
To calculate: The percent of the students that will order cake tomorrow and the day after tomorrow. Given that today 20% of the students ordered ice cream, 30% ordered cake, and 50% ordered pie.
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Finite Mathematics & Its Applications (12th Edition)
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL