Passengers arrive at the taxi stand at a Poisson rate of 2 per minute and wait for a taxi only if there are fewer than 10 persons waiting; otherwise, they leave and never return. Empty taxis pass by a taxi stand at a Poisson rate of 5 per minute and wait for passengers only if there are fewer than 5 taxis waiting. Draw the state transition diagram. Show the occupancy distribution of the queue of passengers waiting for taxis.