Consider Problem 16-2. If the police car is currently at a call scene, determine the probability that an apprehension will take place in two patrols.

Problem 16-2

A police car is normally on regular patrol circulating a neighborhood. During the patrol, there is a 60% chance of responding in time to the location where help is needed; else regular patrol will continue. Upon receiving a call, there is a 10% chance of cancellation (in which case regular patrol is resumed) and a 30% chance that the car is already responding to a previous call. When the police car arrives at the scene, there is a 10% chance that the instigators will have fled (in which case the car returns to regular patrol) and a 40% chance that apprehension is made immediately. Else, the officers will search the area. If apprehension occurs, there is a 60% chance of transporting the suspects to the police station; else they are released and the car returns to patrol. Express the probabilistic activities of the police patrol in the form of transition matrix.