1.10. A bus in a mass transit system is operating on a continuous route with intermediate stops. The arrival of the bus at a stop is classified into one of three states, namely 1. Early arrival;

2. On-time arrival;

3. Late arrival.

Suppose that the successive states form a Markov chain with transition probability matrix

Over a long period of time, what fraction of stops can be expected to be late?

1 2 3 1 0.5 0.4 0.1 = P 2 0.2 0.5 0.3 3 0.1 0.2 0.7