Question

Consider a simplification of a autonomous vehicle project on Markov processes. The process has three states that describe the driving environment: s₁:= “driving in city,” s₂ := “driving in suburbs,” s₃ := “driving in rural area (‘country’).” If the car is driving in the city, there is a 50% chance the next passenger pickup assignment will also be in the city. If the car is driving in the suburbs, there is a 40% chance the next passenger pickup assignment will be in the suburbs. If the car is driving in the country, there is a 20% chance the next passenger pickup assignment will also be in the country. Anytime there is a switch from the driving environment, it is equally likely to be to either of the other two environments.

a. What is the transition matrix for this process, P?

Answer 1