i          p   observed  estimated
    1      0.005       43.2       45.7
    2      0.014       44.5       48.1
    3      0.023       46.9       49.7
    4      0.032       48.2       50.9
    5      0.040       48.7       52.0
    6      0.049       50.0       52.9
    7      0.058       50.8       53.8
    8      0.067       52.1       54.6
    9      0.075       52.4       55.4
   10      0.084       53.5       56.1
   11      0.093       55.0       56.8
   12      0.102       56.6       57.5
   13      0.110       57.0       58.1
   14      0.119       59.0       58.8
   15      0.128       59.9       59.4
   16      0.137       61.0       60.0
   17      0.145       61.0       60.6
   18      0.154       63.4       61.2
   19      0.163       63.5       61.8
   20      0.172       64.0       62.4
   21      0.180       64.5       62.9
   22      0.189       65.5       63.5
   23      0.198       66.3       64.1
   24      0.207       66.5       64.6
   25      0.215       67.5       65.2
   26      0.224       67.7       65.8
   27      0.233       67.8       66.3
   28      0.242       68.0       66.9
   29      0.250       68.6       67.4
   30      0.259       69.3       68.0
   31      0.268       69.6       68.5
   32      0.277       70.4       69.1
   33      0.285       71.0       69.6
   34      0.294       71.2       70.2
   35      0.303       71.5       70.8
   36      0.312       71.5       71.3
   37      0.320       72.0       71.9
   38      0.329       72.3       72.4
   39      0.338       73.0       73.0
   40      0.347       73.4       73.6
   41      0.356       74.0       74.2
   42      0.364       74.3       74.7
   43      0.373       75.0       75.3
   44      0.382       75.4       75.9
   45      0.391       75.5       76.5
   46      0.399       75.6       77.1
   47      0.408       76.5       77.7
   48      0.417       76.5       78.3
   49      0.426       78.1       78.9
   50      0.434       78.5       79.6
   51      0.443       78.5       80.2
   52      0.452       80.0       80.8
   53      0.461       82.0       81.5
   54      0.469       82.5       82.1
   55      0.478       82.5       82.8
   56      0.487       84.7       83.5
   57      0.496       85.0       84.1
   58      0.504       89.0       84.8
   59      0.513       89.0       85.5
   60      0.522       90.5       86.3
   61      0.531       90.6       87.0
   62      0.539       91.7       87.7
   63      0.548       92.3       88.5
   64      0.557       92.4       89.2
   65      0.566       93.2       90.0
   66      0.574       94.2       90.8
   67      0.583       94.5       91.6
   68      0.592       95.0       92.4
   69      0.601       95.5       93.2
   70      0.609       95.7       94.1
   71      0.618       96.5       95.0
   72      0.627       98.0       95.8
   73      0.636       98.0       96.8
   74      0.644       99.7       97.7
   75      0.653      100.5       98.6
   76      0.662      100.5       99.6
   77      0.671      102.5      100.6
   78      0.680      103.5      101.7
   79      0.688      104.0      102.7
   80      0.697      104.2      103.8
   81      0.706      106.2      104.9
   82      0.715      107.0      106.1
   83      0.723      107.6      107.3
   84      0.732      110.1      108.5
   85      0.741      111.5      109.8
   86      0.750      112.6      111.2
   87      0.758      113.3      112.5
   88      0.767      113.9      114.0
   89      0.776      115.1      115.4
   90      0.785      115.2      117.0
   91      0.793      115.5      118.6
   92      0.802      119.8      120.3
   93      0.811      122.8      122.1
   94      0.820      123.7      124.0
   95      0.828      128.5      125.9
   96      0.837      130.7      128.0
   97      0.846      134.0      130.2
   98      0.855      135.8      132.6
   99      0.863      139.5      135.1
  100      0.872      140.1      137.8
  101      0.881      141.7      140.7
  102      0.890      142.1      143.8
  103      0.898      145.7      147.3
  104      0.907      146.5      151.1
  105      0.916      147.2      155.3
  106      0.925      148.0      160.0
  107      0.933      157.5      165.4
  108      0.942      163.1      171.6
  109      0.951      164.3      179.0
  110      0.960      175.0      188.0
  111      0.968      180.0      199.6
  112      0.977      201.0      215.5
  113      0.986      262.4      240.4
  114      0.995      357.4      295.4