Passengers arrive at the taxi stand at a Poisson rate of 2 per minute and wait for a [6] 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. (a) Draw the state transition diagram. (b) Show how to obtain the occupancy distribution of the queue of passengers waiting for taxis. .