In a certain university campus, there are only two restaurants A and B. If a student eats in restaurantA in one day, the next day the probability that she will eat in restaurant A is 0.8 and the probabilitythat she will eat in restaurant B is 0.2. If she eats in restaurant B in one day, the next day theprobability that she will eat in restaurant A is 0.7 and the probability that she will eat in restaurantB 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 probabilitythat she will eat in restaurant B 3 days later.

Given PAA=0.8 and PAB=0.2 PBA=0.7 and PBB=0.3

Answered: (a) Draw the transition probability…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.