2.12. Computer Challenge Most computers have available a routine for simulating a sequence U,,, U . . . of independent random variables, each uniformly distributed on the interval (0, 1). Plot, say, 10,000 pairs on the unit square. Does the plot look like what you would expect?

Repeat the experiment several times. Do the points in a fixed number of disjoint squares of area 1/10,000 look like independent unit Poisson random variables?