A car survey found that 80% of those diving the car five years ago are now driving the car, 10% are now driving minivan and 10% are now driving an SUV. Of those driving minivan five years ago, 20% are now driving car, 70% a minivan and 10% an SUV. Finally, of those driving an SUV 5 years ago, 10% are now driving the car, 30 a minivan, and 60% an SUV.
(a) Provide the transition matrix and the Transition Diagram for this Markov Process.
(b) Given that 70% of those questioned were driving cars 5 years ago and 20% were driving minivans and 10% were driving SUV's, estimate the percentage of these people driving each type of vehicle today.
(c) What would be the steady state for this process?