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(a) Draw the transition probability graph (b) If the student starts by eating in restaurant A, use Markov Chains to calculate the probability that she will eat in restaurant B 3 days later.

(a) Draw the transition probability graph (b) If the student starts by eating in restaurant A, use Markov Chains to calculate the probability that she will eat in restaurant B 3 days later.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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In a certain university campus, there are only two restaurants A and B. If a student eats in restaurant A in one day, the next day the probability that she will eat in restaurant A is 0.8 and the probability that she will eat in restaurant B is 0.2. If she eats in restaurant B in one day, the next day the probability that she will eat in restaurant A is 0.7 and the probability that she will eat in restaurant B is 0.3. Assume that at every day, the student either eats in restaurant A or restaurant B.
Transcribed Image Text:In a certain university campus, there are only two restaurants A and B. If a student eats in restaurant A in one day, the next day the probability that she will eat in restaurant A is 0.8 and the probability that she will eat in restaurant B is 0.2. If she eats in restaurant B in one day, the next day the probability that she will eat in restaurant A is 0.7 and the probability that she will eat in restaurant B is 0.3. Assume that at every day, the student either eats in restaurant A or restaurant B.
(a) Draw the transition probability graph (b) If the student starts by eating in restaurant A, use Markov Chains to calculate the probability that she will eat in restaurant B 3 days later.
Transcribed Image Text:(a) Draw the transition probability graph (b) If the student starts by eating in restaurant A, use Markov Chains to calculate the probability that she will eat in restaurant B 3 days later.
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