5. A small vegetarian shop serves only two kinds of sandwiches: falafel and tofu. The shop observes that if a customer orders a falafel sandwich, there is that they will order a falafel sandwich on their next visit. If the custômer orders a tofu sandwich, there is a 40% chance that they will order a falafel sandwich on their 70% chance next visit. (a) Give a transition matrix associated with this situation; (b) A customer shops at the sandwich shop once per week. If the customer ordered a falafel sandwich two weeks ago, what is the probability that they will order a tofu sandwich this week? (c) Find the steady state vector associated with this situation.

5. A small vegetarian shop serves only two kinds of sandwiches: falafel and tofu. The shop observes that if a customer orders a falafel sandwich, there is that they will order a falafel sandwich on their next visit. If the custômer orders a tofu sandwich, there is a 40% chance that they will order a falafel sandwich on their 70% chance next visit. (a) Give a transition matrix associated with this situation; (b) A customer shops at the sandwich shop once per week. If the customer ordered a falafel sandwich two weeks ago, what is the probability that they will order a tofu sandwich this week? (c) Find the steady state vector associated with this situation.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 12EQ: 12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction...

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