Probability Approximations via the Poisson Clumping Heuristic (Applied Mathematical Sciences 77) (1988. XV, 269 S. 25 SW-Abb.)

If you place a large number of points randomly in the unit square, what is the distribution of the radius of the largest circle containing no points? If cars on a freeway move with constant speed (random from car to car), what is the longest stretch of empty road you will see during a long journey?