Ex 12.3: E[max of N standard normals] m_N
  N=1: 0.0000  N=2: 0.5642  N=4: 1.0294  N=16: 1.7660  N=64: 2.3437  N=256: 2.8269

Ex 12.4: binary vote, p = 0.6 for the correct answer, N odd: exact error P(wrong majority) and the bound (1 - (sqrt(p0) - sqrt(p1))^2)^N
      N  exact error      bound
      1      0.40000    0.97980
      5      0.31744    0.90298
     11      0.24650    0.79890
     51      0.07353    0.35312
    201      0.00207    0.01653

Ex 12.7: greedy allocation against brute force on 4 prompts, budget 6
  brute force: (3, 3, 0, 0) value 1.363000;  greedy: (3, 3, 0, 0) value 1.363000
