[15 Marks] Q 4(b) Assume that there are four takeaway restaurants that deliver to your area and that the matrix below describes the probabilities that a customer in the overlapping delivery area who order from one restaurant, will place their next order with the same or a different restaurant the next time they opt for a takeaway meal to be delivered: [0.25 0.20 0.25 0.30] 0.20 0.25 0.25 0.30 0.25 0.25 0.40 0.10 L0.30 0.30 0.10 0.30) Answer the following: a) Provide a state transition diagram for this system b) Is this chain irreducible? Explain your answer (3 Marks) (2 Marks) c) Find the first passage times to state 2 (note the convention is that the first state is state 0) (10 Marks)