Normal distribution values Write the shortest program possible which outputs a table of Normal distribution values 

phi(z) = Integral[t from -infty to z of e^(-t^2/2) /sqrt(2 pi) dt]


for z from 0.00 to 3.99, giving values accurate to 4 decimal places.

The canonical format for such a table appears to be:

    0.00    0.01    0.02    0.03    0.04    0.05    0.06    0.07    0.08    0.09
0.0 0.5000  0.5040  0.5080  0.5120  0.5160  0.5199  0.5239  0.5279  0.5319  0.5359
0.1 0.5398  0.5438  0.5478  0.5517  0.5557  0.5596  0.5636  0.5675  0.5714  0.5753
0.2 0.5793  0.5832  0.5871  0.5910  0.5948  0.5987  0.6026  0.6064  0.6103  0.6141
0.3 0.6179  0.6217  0.6255  0.6293  0.6331  0.6368  0.6406  0.6443  0.6480  0.6517
0.4 0.6554  0.6591  0.6628  0.6664  0.6700  0.6736  0.6772  0.6808  0.6844  0.6879
0.5 0.6915  0.6950  0.6985  0.7019  0.7054  0.7088  0.7123  0.7157  0.7190  0.7224
0.6 0.7257  0.7291  0.7324  0.7357  0.7389  0.7422  0.7454  0.7486  0.7517  0.7549
0.7 0.7580  0.7611  0.7642  0.7673  0.7704  0.7734  0.7764  0.7794  0.7823  0.7852
0.8 0.7881  0.7910  0.7939  0.7967  0.7995  0.8023  0.8051  0.8078  0.8106  0.8133
0.9 0.8159  0.8186  0.8212  0.8238  0.8264  0.8289  0.8315  0.8340  0.8365  0.8389
1.0 0.8413  0.8438  0.8461  0.8485  0.8508  0.8531  0.8554  0.8577  0.8599  0.8621
1.1 0.8643  0.8665  0.8686  0.8708  0.8729  0.8749  0.8770  0.8790  0.8810  0.8830
1.2 0.8849  0.8869  0.8888  0.8907  0.8925  0.8944  0.8962  0.8980  0.8997  0.9015
1.3 0.9032  0.9049  0.9066  0.9082  0.9099  0.9115  0.9131  0.9147  0.9162  0.9177
1.4 0.9192  0.9207  0.9222  0.9236  0.9251  0.9265  0.9279  0.9292  0.9306  0.9319
1.5 0.9332  0.9345  0.9357  0.9370  0.9382  0.9394  0.9406  0.9418  0.9429  0.9441
1.6 0.9452  0.9463  0.9474  0.9484  0.9495  0.9505  0.9515  0.9525  0.9535  0.9545
1.7 0.9554  0.9564  0.9573  0.9582  0.9591  0.9599  0.9608  0.9616  0.9625  0.9633
1.8 0.9641  0.9649  0.9656  0.9664  0.9671  0.9678  0.9686  0.9693  0.9699  0.9706
1.9 0.9713  0.9719  0.9726  0.9732  0.9738  0.9744  0.9750  0.9756  0.9761  0.9767
2.0 0.9772  0.9778  0.9783  0.9788  0.9793  0.9798  0.9803  0.9808  0.9812  0.9817
2.1 0.9821  0.9826  0.9830  0.9834  0.9838  0.9842  0.9846  0.9850  0.9854  0.9857
2.2 0.9861  0.9864  0.9868  0.9871  0.9875  0.9878  0.9881  0.9884  0.9887  0.9890
2.3 0.9893  0.9896  0.9898  0.9901  0.9904  0.9906  0.9909  0.9911  0.9913  0.9916
2.4 0.9918  0.9920  0.9922  0.9925  0.9927  0.9929  0.9931  0.9932  0.9934  0.9936
2.5 0.9938  0.9940  0.9941  0.9943  0.9945  0.9946  0.9948  0.9949  0.9951  0.9952
2.6 0.9953  0.9955  0.9956  0.9957  0.9959  0.9960  0.9961  0.9962  0.9963  0.9964
2.7 0.9965  0.9966  0.9967  0.9968  0.9969  0.9970  0.9971  0.9972  0.9973  0.9974
2.8 0.9974  0.9975  0.9976  0.9977  0.9977  0.9978  0.9979  0.9979  0.9980  0.9981
2.9 0.9981  0.9982  0.9982  0.9983  0.9984  0.9984  0.9985  0.9985  0.9986  0.9986
3.0 0.9987  0.9987  0.9987  0.9988  0.9988  0.9989  0.9989  0.9989  0.9990  0.9990
3.1 0.9990  0.9991  0.9991  0.9991  0.9992  0.9992  0.9992  0.9992  0.9993  0.9993
3.2 0.9993  0.9993  0.9994  0.9994  0.9994  0.9994  0.9994  0.9995  0.9995  0.9995
3.3 0.9995  0.9995  0.9995  0.9996  0.9996  0.9996  0.9996  0.9996  0.9996  0.9997
3.4 0.9997  0.9997  0.9997  0.9997  0.9997  0.9997  0.9997  0.9997  0.9997  0.9998
3.5 0.9998  0.9998  0.9998  0.9998  0.9998  0.9998  0.9998  0.9998  0.9998  0.9998
3.6 0.9998  0.9998  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999
3.7 0.9999  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999
3.8 0.9999  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999  0.9999
3.9 1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  1.0000
Mathematica 132 136 127
If Erfc is acceptable, here's my attempt, accurate to 6 places:
t=Table;TableForm[Partition[t[0.5 Erfc[-x/Sqrt[2]],{x,0,3.99,.01}],10], 
TableHeadings-&gt;{t[k,{k,0,3.9,.1}],t[k,{k,0,.09,.01}]}]