3.4 ASSUMPTION OF UNIFORMITYMuch of geometrical probability deals with points distributed uniformly and independently over some region R. At first the uniformity assumption may appear quite restrictive, and although this is true to some extent, it is not as restrictive as one may think. The spatial uniformity assumption plays a role analogous to the assumption of negative exponential service times in queueing systems (Chap. 4):
