Question: 5.2.12 Computer Challenge Most computers have available a routine for simulating a sequence U0;U1; : : : of independent random variables, each uniformly distributed on

5.2.12 Computer Challenge Most computers have available a routine for simulating a sequence U0;U1; : : : of independent random variables, each uniformly distributed on the interval .0;1/. Plot, say, 10,000 pairs .U2n, U2nC1/ 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?

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