A.7-1

Table A.7 Probability of a Transaction Being Lost

Number of Processors, M

Mr       1      2      3      4      5      6      7      8      9      10
 0.10    .0909  .0045  .0002  .0000  .0000  .0000  .0000  .0000  .0000  .0000
 0.20    .1667  .0164  .0011  .0001  .0000  .0000  .0000  .0000  .0000  .0000
 0.30    .2308  .0335  .0033  .0003  .0000  .0000  .0000  .0000  .0000  .0000
 0.40    .2857  .0541  .0072  .0007  .0001  .0000  .0000  .0000  .0000  .0000
 0.50    .3333  .0769  .0127  .0016  .0002  .0000  .0000  .0000  .0000  .0000
 0.60    .3750  .1011  .0198  .0030  .0004  .0000  .0000  .0000  .0000  .0000
 0.70    .4118  .1260  .0286  .0050  .0007  .0001  .0000  .0000  .0000  .0000
 0.80    .4444  .1509  .0387  .0077  .0012  .0002  .0000  .0000  .0000  .0000
 0.90    .4737  .1757  .0501  .0111  .0020  .0003  .0000  .0000  .0000  .0000
 1.00    .5000  .2000  .0625  .0154  .0031  .0005  .0001  .0000  .0000  .0000
 1.10    .5238  .2237  .0758  .0204  .0045  .0008  .0001  .0000  .0000  .0000
 1.20    .5455  .2466  .0898  .0262  .0063  .0012  .0002  .0000  .0000  .0000
 1.30    .5652  .2687  .1043  .0328  .0085  .0018  .0003  .0001  .0000  .0000
 1.40    .5833  .2899  .1192  .0400  .0111  .0026  .0005  .0001  .0000  .0000
 1.50    .6000  .3103  .1343  .0480  .0142  .0035  .0008  .0001  .0000  .0000
 1.60    .6154  .3299  .1496  .0565  .0177  .0047  .0011  .0002  .0000  .0000
 1.70    .6296  .3486  .1650  .0655  .0218  .0061  .0015  .0003  .0001  .0000
 1.80    .6429  .3665  .1803  .0750  .0263  .0078  .0020  .0005  .0001  .0000
 1.90    .6552  .3836  .1955  .0850  .0313  .0098  .0027  .0006  .0001  .0000
 2.00    .6667  .4000  .2105  .0952  .0367  .0121  .0034  .0009  .0002  .0000
 2.20    .6875  .4306  .2400  .1166  .0488  .0176  .0055  .0015  .0004  .0001
 2.40    .7059  .4586  .2684  .1387  .0624  .0244  .0083  .0025  .0007  .0002
 2.60    .7222  .4842  .2956  .1612  .0773  .0324  .0119  .0039  .0011  .0003
 2.80    .7368  .5078  .3215  .1837  .0933  .0417  .0164  .0057  .0018  .0005
 3.00    .7500  .5294  .3462  .2061  .1101  .0522  .0219  .0081  .0027  .0008
 3.20    .7619  .5494  .3695  .2281  .1274  .0636  .0283  .0112  .0040  .0013
 3.40    .7727  .5678  .3915  .2497  .1452  .0760  .0356  .0149  .0056  .0019
 3.60    .7826  .5848  .4124  .2707  .1631  .0891  .0438  .0193  .0077  .0028
 3.80    .7917  .6007  .4321  .2910  .1811  .1029  .0529  .0245  .0102  .0039
 4.00    .8000  .6154  .4507  .3107  .1991  .1172  .0627  .0304  .0133  .0053
 4.20    .8077  .6291  .4683  .3296  .2168  .1318  .0733  .0370  .0170  .0071
 4.40    .8148  .6419  .4849  .3479  .2344  .1467  .0844  .0444  .0212  .0093
 4.60    .8214  .6539  .5007  .3654  .2516  .1617  .0960  .0523  .0261  .0118
 4.80    .8276  .6651  .5156  .3822  .2684  .1768  .1081  .0609  .0315  .0149
 5.00    .8333  .6757  .5297  .3983  .2849  .1918  .1205  .0700  .0375  .0184
 5.20    .8387  .6856  .5430  .4138  .3009  .2068  .1332  .0797  .0440  .0224
 5.40    .8437  .6949  .5557  .4287  .3164  .2217  .1460  .0897  .0511  .0268
 5.60    .8485  .7038  .5678  .4429  .3316  .2363  .1590  .1002  .0587  .0318
 5.80    .8529  .7121  .5793  .4565  .3462  .2507  .1720  .1109  .0667  .0372
 6.00    .8571  .7200  .5902  .4696  .3604  .2649  .1851  .1219  .0751  .0431
 6.20    .8611  .7275  .6006  .4821  .3741  .2788  .1980  .1331  .0840  .0495
 6.40    .8649  .7346  .6105  .4941  .3874  .2924  .2110  .1444  .0931  .0562
 6.60    .8684  .7413  .6199  .5056  .4003  .3057  .2237  .1558  .1026  .0634
 6.80    .8718  .7477  .6289  .5167  .4127  .3187  .2364  .1673  .1122  .0709
 7.00    .8750  .7538  .6375  .5273  .4247  .3313  .2489  .1788  .1221  .0787
 7.20    .8780  .7597  .6458  .5376  .4363  .3437  .2612  .1903  .1321  .0869
 7.40    .8810  .7652  .6537  .5474  .4475  .3557  .2732  .2018  .1423  .0953
 7.60    .8837  .7705  .6613  .5568  .4584  .3673  .2851  .2131  .1525  .1039
 7.80    .8864  .7756  .6685  .5659  .4689  .3787  .2968  .2244  .1628  .1127
 8.00    .8889  .7805  .6755  .5746  .4790  .3898  .3082  .2356  .1731  .1217
 8.20    .8913  .7851  .6821  .5831  .4888  .4005  .3193  .2466  .1835  .1308
 8.40    .8936  .7896  .6886  .5912  .4983  .4109  .3303  .2575  .1938  .1400
 8.60    .8958  .7939  .6947  .5990  .5075  .4211  .3409  .2682  .2040  .1493
 8.80    .8980  .7980  .7007  .6065  .5163  .4309  .3514  .2788  .2142  .1586


A.7-2

Table A.7(Continued)
Probability of a Transaction Being Lost

Number of Processors, M

Mr       1      2      3      4      5      6      7      8      9      10
 9.00    .9000  .8020  .7064  .6138  .5249  .4405  .3616  .2892  .2243  .1680
 9.20    .9020  .8058  .7119  .6208  .5332  .4498  .3715  .2994  .2343  .1773
 9.40    .9038  .8095  .7172  .6276  .5413  .4589  .3813  .3094  .2442  .1867
 9.60    .9057  .8130  .7223  .6342  .5491  .4677  .3908  .3192  .2540  .1960
 9.80    .9074  .8164  .7273  .6405  .5566  .4762  .4000  .3289  .2637  .2053
10.00    .9091  .8197  .7321  .6467  .5640  .4845  .4090  .3383  .2732  .2146
10.20    .9107  .8228  .7367  .6526  .5711  .4926  .4179  .3476  .2826  .2238
10.40    .9123  .8259  .7411  .6583  .5779  .5004  .4264  .3567  .2919  .2329
10.60    .9138  .8289  .7455  .6639  .5846  .5081  .4348  .3655  .3010  .2419
10.80    .9153  .8317  .7496  .6693  .5911  .5155  .4430  .3742  .3099  .2508
11.00    .9167  .8345  .7537  .6745  .5974  .5227  .4510  .3828  .3187  .2596
11.20    .9180  .8372  .7576  .6796  .6035  .5298  .4588  .3911  .3274  .2683
11.40    .9194  .8398  .7614  .6845  .6095  .5366  .4664  .3992  .3359  .2769
11.60    .9206  .8423  .7651  .6893  .6153  .5433  .4738  .4072  .3442  .2853
11.80    .9219  .8447  .7687  .6940  .6209  .5498  .4810  .4150  .3524  .2937
12.00    .9231  .8471  .7721  .6985  .6264  .5561  .4880  .4227  .3604  .3019
12.20    .9242  .8493  .7755  .7028  .6317  .5622  .4949  .4301  .3683  .3100
12.40    .9254  .8516  .7788  .7071  .6368  .5682  .5016  .4374  .3760  .3180
12.60    .9265  .8537  .7819  .7112  .6419  .5741  .5082  .4446  .3836  .3259
12.80    .9275  .8558  .7850  .7153  .6468  .5798  .5146  .4516  .3911  .3336
13.00    .9286  .8579  .7880  .7192  .6516  .5854  .5209  .4584  .3984  .3412
13.20    .9296  .8598  .7909  .7230  .6562  .5908  .5270  .4651  .4055  .3487
13.40    .9306  .8618  .7938  .7267  .6607  .5961  .5329  .4716  .4125  .3560
13.60    .9315  .8637  .7966  .7303  .6652  .6012  .5388  .4781  .4194  .3632
13.80    .9324  .8655  .7992  .7339  .6695  .6063  .5445  .4843  .4262  .3703
14.00    .9333  .8673  .8019  .7373  .6737  .6112  .5500  .4905  .4328  .3773
14.20    .9342  .8690  .8044  .7406  .6778  .6160  .5555  .4965  .4392  .3841
14.40    .9351  .8707  .8069  .7439  .6818  .6207  .5608  .5023  .4456  .3909
14.60    .9359  .8723  .8094  .7471  .6857  .6253  .5660  .5081  .4518  .3975
14.80    .9367  .8739  .8117  .7502  .6895  .6297  .5711  .5137  .4579  .4040
15.00    .9375  .8755  .8140  .7532  .6932  .6341  .5761  .5193  .4639  .4103
15.20    .9383  .8770  .8163  .7562  .6969  .6384  .5809  .5247  .4698  .4166
15.40    .9390  .8785  .8185  .7591  .7004  .6426  .5857  .5300  .4756  .4228
15.60    .9398  .8800  .8207  .7619  .7039  .6467  .5904  .5351  .4812  .4288
15.80    .9405  .8814  .8228  .7647  .7073  .6507  .5949  .5402  .4868  .4347
16.00    .9412  .8828  .8248  .7674  .7106  .6546  .5994  .5452  .4922  .4406
16.20    .9419  .8841  .8268  .7700  .7139  .6584  .6038  .5501  .4975  .4463
16.40    .9425  .8854  .8288  .7726  .7171  .6622  .6080  .5549  .5028  .4519
16.60    .9432  .8867  .8307  .7751  .7202  .6658  .6122  .5596  .5079  .4574
16.80    .9438  .8880  .8326  .7776  .7232  .6694  .6164  .5641  .5129  .4629
17.00    .9444  .8892  .8344  .7800  .7262  .6729  .6204  .5687  .5179  .4682
17.20    .9451  .8904  .8362  .7824  .7291  .6764  .6243  .5731  .5227  .4734
17.40    .9457  .8916  .8380  .7847  .7320  .6798  .6282  .5774  .5275  .4786
17.60    .9462  .8928  .8397  .7870  .7348  .6831  .6320  .5817  .5322  .4836
17.80    .9468  .8939  .8414  .7892  .7375  .6863  .6357  .5858  .5367  .4886
18.00    .9474  .8950  .8430  .7914  .7402  .6895  .6394  .5899  .5413  .4935
18.20    .9479  .8961  .8446  .7935  .7428  .6926  .6430  .5939  .5457  .4983
18.40    .9485  .8972  .8462  .7956  .7454  .6957  .6465  .5979  .5500  .5030
18.60    .9490  .8982  .8478  .7977  .7479  .6987  .6499  .6018  .5543  .5076
18.80    .9495  .8992  .8493  .7997  .7504  .7016  .6533  .6056  .5585  .5122
19.00    .9500  .9002  .8508  .8016  .7529  .7045  .6566  .6093  .5626  .5167


A.7-3

Table A.7(Continued)
Probability of a Transaction Being Lost

Number of Processors, M

  Mr       11     12     13     14     15     16     17     18     19     20
 2.60    .0001  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000
 2.80    .0001  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000
 3.00    .0002  .0001  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000
 3.20    .0004  .0001  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000
 3.40    .0006  .0002  .0000  .0000  .0000  .0000  .0000  .0000  .0000  .0000
 3.60    .0009  .0003  .0001  .0000  .0000  .0000  .0000  .0000  .0000  .0000
 3.80    .0013  .0004  .0001  .0000  .0000  .0000  .0000  .0000  .0000  .0000
 4.00    .0019  .0006  .0002  .0001  .0000  .0000  .0000  .0000  .0000  .0000
 4.20    .0027  .0009  .0003  .0001  .0000  .0000  .0000  .0000  .0000  .0000
 4.40    .0037  .0014  .0005  .0001  .0000  .0000  .0000  .0000  .0000  .0000
 4.60    .0049  .0019  .0007  .0002  .0001  .0000  .0000  .0000  .0000  .0000
 4.80    .0065  .0026  .0009  .0003  .0001  .0000  .0000  .0000  .0000  .0000
 5.00    .0083  .0034  .0013  .0005  .0002  .0000  .0000  .0000  .0000  .0000
 5.20    .0105  .0045  .0018  .0007  .0002  .0001  .0000  .0000  .0000  .0000
 5.40    .0130  .0058  .0024  .0009  .0003  .0001  .0000  .0000  .0000  .0000
 5.60    .0159  .0074  .0032  .0013  .0005  .0002  .0001  .0000  .0000  .0000
 5.80    .0193  .0092  .0041  .0017  .0007  .0002  .0001  .0000  .0000  .0000
 6.00    .0230  .0114  .0052  .0022  .0009  .0003  .0001  .0000  .0000  .0000
 6.20    .0271  .0138  .0066  .0029  .0012  .0005  .0002  .0001  .0000  .0000
 6.40    .0317  .0166  .0081  .0037  .0016  .0006  .0002  .0001  .0000  .0000
 6.60    .0366  .0198  .0099  .0047  .0020  .0008  .0003  .0001  .0000  .0000
 6.80    .0420  .0232  .0120  .0058  .0026  .0011  .0004  .0002  .0001  .0000
 7.00    .0477  .0271  .0144  .0071  .0033  .0014  .0006  .0002  .0001  .0000
 7.20    .0538  .0313  .0170  .0087  .0041  .0019  .0008  .0003  .0001  .0000
 7.40    .0602  .0358  .0200  .0104  .0051  .0024  .0010  .0004  .0002  .0001
 7.60    .0670  .0407  .0232  .0125  .0063  .0030  .0013  .0006  .0002  .0001
 7.80    .0740  .0459  .0268  .0147  .0076  .0037  .0017  .0007  .0003  .0001
 8.00    .0813  .0514  .0307  .0172  .0091  .0045  .0021  .0009  .0004  .0002
 8.20    .0888  .0572  .0348  .0200  .0108  .0055  .0027  .0012  .0005  .0002
 8.40    .0966  .0633  .0393  .0230  .0127  .0066  .0033  .0015  .0007  .0003
 8.60    .1045  .0697  .0441  .0264  .0149  .0079  .0040  .0019  .0009  .0004
 8.80    .1126  .0763  .0491  .0299  .0173  .0094  .0048  .0024  .0011  .0005
 9.00    .1208  .0831  .0544  .0338  .0199  .0111  .0058  .0029  .0014  .0006
 9.20    .1292  .0901  .0599  .0379  .0227  .0129  .0069  .0035  .0017  .0008
 9.40    .1376  .0973  .0657 . 0423  .0258  .0149  .0082  .0043  .0021  .0010
 9.60    .1461  .1046  .0717  .0469  .0291  .0172  .0096  .0051  .0026  .0012
 9.80    .1546  .1121  .0779  .0517  .0327  .0196  .0112  .0061  .0031  .0015
10.00    .1632  .1197  .0843  .0568  .0365  .0223  .0129  .0071  .0037  .0019
10.20    .1718  .1274  .0909  .0621  .0405  .0252  .0149  .0084  .0045  .0023
10.40    .1804  .1352  .0976  .0676  .0448  .0283  .0170  .0097  .0053  .0027
10.60    .1890  .1431  .1045  .0733  .0492  .0316  .0193  .0112  .0062  .0033
10.80    .1976  .1510  .1114  .0792  .0539  .0351  .0218  .0129  .0073  .0039
11.00    .2061  .1589  .1185  .0852  .0588  .0389  .0245  .0148  .0085  .0046
11.20    .2146  .1668  .1257  .0914  .0639  .0428  .0274  .0168  .0098  .0055
11.40    .2230  .1748  .1329  .0977  .0691  .0469  .0305  .0190  .0112  .0064
11.60    .2313  .1827  .1402  .1041  .0745  .0512  .0338  .0213  .0128  .0074
11.80    .2396  .1907  .1475  .1106  .0800  .0557  .0372  .0238  .0146  .0085
12.00    .2478  .1986  .1549  .1172  .0857  .0604  .0409  .0265  .0165  .0098
12.20    .2559  .2064  .1623  .1239  .0915  .0653  .0447  .0294  .0185  .0112
12.40    .2639  .2143  .1697  .1307  .0975  .0702  .0487  .0325  .0208  .0127
12.60    .2718  .2220  .1771  .1375  .1035  .0754  .0529  .0357  .0231  .0144
12.80    .2796  .2297  .1845  .1443  .1097  .0806  .0572  .0391  .0257  .0162
13.00    .2874  .2374  .1919  .1512  .1159  .0860  .0617  .0427  .0284  .0181
13.20    .2950  .2450  .1992  .1581  .1221  .0915  .0664  .0464  .0312  .0202
13.40    .3025  .2525  .2065  .1650  .1285  .0972  .0711  .0503  .0343  .0224
13.60    .3099  .2599  .2138  .1720  .1349  .1029  .0760  .0543  .0374  .0248
13.80    .3172  .2673  .2210  .1789  .1413  .1086  .0810  .0585  .0408  .0274

A.7-4

Table A.7(Continued)
Probability of a Transaction Being Lost

Number of Processors, M

  Mr       11     12     13     14     15     16     17     18     19     20
14.00    .3244  .2746  .2282  .1858  .1478  .1145  .0862  .0628  .0442  .0300
14.20    .3315  .2817  .2353  .1927  .1543  .1204  .0914  .0673  .0479  .0329
14.40    .3385  .2889  .2424  .1996  .1608  .1264  .0967  .0718  .0516  .0358
14.60    .3454  .2959  .2494  .2064  .1673  .1324  .1021  .0765  .0555  .0390
14.80    .3521  .3028  .2563  .2132  .1738  .1385  .1076  .0813  .0595  .0422
15.00    .3588  .3096  .2632  .2200  .1803  .1446  .1132  .0862  .0637  .0456
15.20    .3653  .3164  .2700  .2267  .1868  .1507  .1188  .0911  .0680  .0491
15.40    .3718  .3230  .2768  .2334  .1933  .1569  .1244  .0962  .0723  .0528
15.60    .3782  .3296  .2834  .2400  .1997  .1630  .1301  .1013  .0768  .0565
15.80    .3844  .3360  .2900  .2466  .2062  .1692  .1359  .1065  .0814  .0604
16.00    .3905  .3424  .2965  .2531  .2126  .1753  .1416  .1118  .0861  .0644
16.20    .3966  .3487  .3029  .2595  .2189  .1814  .1474  .1171  .0908  .0685
16.40    .4025  .3549  .3093  .2659  .2253  .1876  .1532  .1225  .0956  .0727
16.60    .4084  .3610  .3155  .2723  .2315  .1937  .1591  .1279  .1005  .0770
16.80    .4141  .3670  .3217  .2785  .2378  .1998  .1649  .1334  .1055  .0814
17.00    .4198  .3729  .3278  .2847  .2440  .2059  .1707  .1388  .1105  .0859
17.20    .4254  .3788  .3338  .2909  .2501  .2119  .1765  .1443  .1156  .0904
17.40    .4309  .3845  .3398  .2969  .2562  .2179  .1824  .1499  .1207  .0950
17.60    .4362  .3902  .3457  .3029  .2622  .2239  .1882  .1554  .1258  .0997
17.80    .4415  .3958  .3514  .3088  .2682  .2298  .1939  .1609  .1310  .1044
18.00    .4468  .4012  .3571  .3147  .2741  .2357  .1997  .1665  .1362  .1092
18.20    .4519  .4067  .3628  .3205  .2800  .2415  .2055  .1720  .1415  .1140
18.40    .4569  .4120  .3683  .3262  .2858  .2474  .2112  .1775  .1467  .1189
18.60    .4619  .4172  .3738  .3318  .2915  .2531  .2169  .1831  .1520  .1238
18.80    .4668  .4224  .3792  .3374  .2972  .2588  .2225  .1886  .1573  .1288
19.00    .4716  .4275  .3845  .3429  .3028  .2645  .2282  .1941  .1625  .1338
19.20    .4763  .4325  .3898  .3483  .3084  .2701  .2338  .1996  .1678  .1388
19.40    .4810  .4374  .3950  .3537  .3139  .2757  .2393  .2050  .1731  .1438
19.60    .4855  .4423  .4001  .3590  .3193  .2812  .2448  .2105  .1784  .1488
19.80    .4900  .4471  .4051  .3642  .3247  .2866  .2503  .2159  .1837  .1538
20.00    .4945  .4518  .4101  .3694  .3300  .2920  .2557  .2213  .1889  .1589
20.25    .4999  .4576  .4162  .3758  .3365  .2987  .2624  .2279  .1955  .1652
20.50    .5052  .4633  .4221  .3820  .3430  .3053  .2691  .2346  .2020  .1715
20.75    .5105  .4688  .4280  .3882  .3494  .3118  .2757  .2412  .2085  .1778
21.00    .5156  .4743  .4338  .3942  .3556  .3182  .2822  .2477  .2149  .1841
21.25    .5206  .4797  .4395  .4002  .3618  .3246  .2886  .2541  .2213  .1904
21.50    .5256  .4850  .4451  .4060  .3679  .3308  .2950  .2605  .2277  .1966
21.75    .5304  .4902  .4506  .4118  .3738  .3370  .3012  .2669  .2340  .2029
22.00    .5352  .4952  .4560  .4174  .3797  .3430  .3074  .2731  .2403  .2090
22.25    .5398  .5002  .4613  .4230  .3855  .3490  .3136  .2793  .2465  .2152
22.50    .5444  .5051  .4665  .4285  .3912  .3549  .3196  .2855  .2526  .2213
22.75    .5489  .5100  .4716  .4338  .3969  .3607  .3256  .2915  .2587  .2274
23.00    .5533  .5147  .4766  .4391  .4024  .3665  .3315  .2975  .2648  .2334
23.25    .5576  .5193  .4815  .4444  .4078  .3721  .3373  .3035  .2708  .2394
23.50    .5619  .5239  .4864  .4495  .4132  .3777  .3430  .3093  .2767  .2454
23.75    .5661  .5284  .4912  .4545  .4185  .3832  .3487  .3151  .2826  .2512
24.00    .5701  .5328  .4959  .4595  .4237  .3886  .3542  .3208  .2884  .2571
24.25    .5742  .5371  .5005  .4644  .4288  .3939  .3598  .3264  .2941  .2629
24.50    .5781  .5414  .5050  .4691  .4338  .3992  .3652  .3320  .2998  .2686
24.75    .5820  .5455  .5095  .4739  .4388  .4043  .3705  .3375  .3054  .2743
25.00    .5858  .5496  .5139  .4785  .4437  .4094  .3758  .3430  .3109  .2799
25.25    .5896  .5537  .5182  .4831  .4485  .4144  .3810  .3483  .3164  .2855
25.50    .5933  .5577  .5224  .4876  .4532  .4194  .3862  .3536  .3218  .2910
25.75    .5969  .5616  .5266  .4920  .4579  .4243  .3912  .3588  .3272  .2964


A.7-5

Table A.7(Continued)
Probability of a Transaction Being Lost

Number of Processors, M

  Mr       11     12     13     14     15     16     17     18     19     20
26.00    .6004  .5654  .5307  .4964  .4625  .4291  .3962  .3640  .3325  .3018
26.25    .6039  .5692  .5347  .5007  .4670  .4338  .4011  .3691  .3377  .3071
26.50    .6074  .5729  .5387  .5049  .4714  .4385  .4060  .3741  .3429  .3124
26.75    .6108  .5765  .5426  .5090  .4758  .4431  .4108  .3791  .3480  .3176
27.00    .6141  .5801  .5465  .5131  .4801  .4476  .4155  .3840  .3530  .3228
27.25    .6174  .5837  .5503  .5171  .4844  .4521  .4202  .3888  .3580  .3278
27.50    .6206  .5872  .5540  .5211  .4886  .4565  .4248  .3935  .3629  .3329
27.75    .6238  .5906  .5576  .5250  .4927  .4608  .4293  .3982  .3677  .3379
28.00    .6269  .5939  .5613  .5289  .4968  .4651  .4337  .4029  .3725  .3428
28.25    .6299  .5973  .5648  .5327  .5008  .4693  .4381  .4075  .3773  .3476
28.50    .6330  .6005  .5683  .5364  .5047  .4734  .4425  .4120  .3819  .3524
28.75    .6359  .6037  .5718  .5401  .5086  .4775  .4468  .4164  .3865  .3572
29.00    .6389  .6069  .5752  .5437  .5125  .4816  .4510  .4208  .3911  .3619
29.25    .6417  .6100  .5785  .5472  .5162  .4855  .4552  .4252  .3956  .3665
29.50    .6446  .6131  .5818  .5508  .5200  .4895  .4593  .4294  .4000  .3711
29.75    .6474  .6161  .5851  .5542  .5236  .4933  .4633  .4337  .4044  .3756
30.00    .6501  .6191  .5883  .5576  .5272  .4971  .4673  .4378  .4087  .3801
30.50    .6555  .6249  .5945  .5643  .5343  .5046  .4751  .4460  .4172  .3889
31.00    .6607  .6306  .6006  .5708  .5412  .5119  .4828  .4540  .4255  .3974
31.50    .6658  .6361  .6065  .5771  .5479  .5189  .4902  .4617  .4336  .4058
32.00    .6707  .6414  .6122  .5832  .5544  .5258  .4974  .4693  .4415  .4140
32.50    .6755  .6466  .6178  .5892  .5607  .5325  .5045  .4767  .4491  .4219
33.00    .6801  .6516  .6232  .5950  .5669  .5390  .5113  .4838  .4566  .4297
33.50    .6847  .6565  .6285  .6006  .5729  .5454  .5180  .4908  .4639  .4373
34.00    .6891  .6613  .6336  .6061  .5787  .5515  .5245  .4977  .4711  .4447
34.50    .6933  .6659  .6386  .6115  .5844  .5576  .5309  .5043  .4780  .4519
35.00    .6975  .6704  .6435  .6167  .5900  .5634  .5370  .5108  .4848  .4590
35.50    .7015  .6748  .6482  .6217  .5954  .5692  .5431  .5172  .4914  .4659
36.00    .7055  .6791  .6529  .6267  .6006  .5747  .5490  .5233  .4979  .4726
36.50    .7093  .6833  .6574  .6315  .6058  .5802  .5547  .5294  .5042  .4792
37.00    .7131  .6874  .6617  .6362  .6108  .5855  .5603  .5353  .5104  .4856
37.50    .7167  .6913  .6660  .6408  .6157  .5907  .5658  .5410  .5164  .4919
38.00    .7203  .6952  .6702  .6453  .6205  .5957  .5711  .5466  .5223  .4981
38.50    .7238  .6990  .6743  .6496  .6251  .6007  .5763  .5521  .5280  .5041
39.00    .7272  .7027  .6783  .6539  .6297  .6055  .5814  .5575  .5336  .5099
39.50    .7305  .7063  .6821  .6581  .6341  .6102  .5864  .5627  .5391  .5157
40.00    .7337  .7098  .6859  .6621  .6384  .6148  .5913  .5678  .5445  .5213
40.50    .7369  .7132  .6896  .6661  .6427  .6193  .5960  .5728  .5498  .5268
41.00    .7399  .7166  .6932  .6700  .6468  .6237  .6007  .5777  .5549  .5322
41.50    .7430  .7198  .6968  .6738  .6509  .6280  .6052  .5825  .5599  .5374
42.00    .7459  .7230  .7002  .6775  .6548  .6322  .6097  .5872  .5648  .5426
42.50    .7488  .7262  .7036  .6811  .6587  .6363  .6140  .5918  .5697  .5476
43.00    .7516  .7292  .7069  .6847  .6625  .6403  .6183  .5963  .5744  .5526
43.50    .7543  .7322  .7102  .6881  .6662  .6443  .6224  .6007  .5790  .5574
44.00    .7570  .7352  .7133  .6915  .6698  .6481  .6265  .6050  .5835  .5621
44.50    .7597  .7380  .7164  .6949  .6734  .6519  .6305  .6092  .5879  .5668
45.00    .7622  .7408  .7194  .6981  .6768  .6556  .6344  .6133  .5923  .5713
45.50    .7648  .7436  .7224  .7013  .6802  .6592  .6383  .6174  .5965  .5757
46.00    .7672  .7463  .7253  .7044  .6836  .6628  .6420  .6213  .6007  .5801
46.50    .7697  .7489  .7282  .7075  .6868  .6662  .6457  .6252  .6048  .5844
47.00    .7720  .7515  .7310  .7105  .6900  .6696  .6493  .6290  .6088  .5886
47.50    .7744  .7540  .7337  .7134  .6932  .6730  .6528  .6327  .6127  .5927
48.00    .7766  .7565  .7364  .7163  .6962  .6762  .6563  .6364  .6165  .5967
48.50    .7789  .7589  .7390  .7191  .6993  .6794  .6597  .6400  .6203  .6007
49.00    .7811  .7613  .7416  .7219  .7022  .6826  .6630  .6435  .6240  .6046
49.50    .7832  .7636  .7441  .7246  .7051  .6857  .6663  .6469  .6276  .6084
50.00    .7853  .7659  .7466  .7272  .7080  .6887  .6695  .6503  .6312  .6121

A.7-6

Table A.7(Continued)
Probability of a Transaction Being Lost

Number of Processors, M

  Mr       25     30     35     40     45     50     55     60
10.50    .0001  .0000  .0000  .0000  .0000  .0000  .0000  .0000
10.75    .0001  .0000  .0000  .0000  .0000  .0000  .0000  .0000
11.00    .0001  .0000  .0000  .0000  .0000  .0000  .0000  .0000
11.25    .0002  .0000  .0000  .0000  .0000  .0000  .0000  .0000
11.50    .0002  .0000  .0000  .0000  .0000  .0000  .0000  .0000
11.75    .0003  .0000  .0000  .0000  .0000  .0000  .0000  .0000
12.00    .0004  .0000  .0000  .0000  .0000  .0000  .0000  .0000
12.25    .0005  .0000  .0000  .0000  .0000  .0000  .0000  .0000
12.50    .0006  .0000  .0000  .0000  .0000  .0000  .0000  .0000
12.75    .0008  .0000  .0000  .0000  .0000  .0000  .0000  .0000
13.00    .0010  .0000  .0000  .0000  .0000  .0000  .0000  .0000
13.25    .0013  .0000  .0000  .0000  .0000  .0000  .0000  .0000
13.50    .0016  .0000  .0000  .0000  .0000  .0000  .0000  .0000
13.75    .0020  .0001  .0000  .0000  .0000  .0000  .0000  .0000
14.00    .0024  .0001  .0000  .0000  .0000  .0000  .0000  .0000
14.25    .0029  .0001  .0000  .0000  .0000  .0000  .0000  .0000
14.50    .0035  .0001  .0000  .0000  .0000  .0000  .0000  .0000
14.75    .0042  .0002  .0000  .0000  .0000  .0000  .0000  .0000
15.00    .0050  .0002  .0000  .0000  .0000  .0000  .0000  .0000
15.25    .0059  .0003  .0000  .0000  .0000  .0000  .0000  .0000
15.50    .0069  .0004  .0000  .0000  .0000  .0000  .0000  .0000
15.75    .0081  .0005  .0000  .0000  .0000  .0000  .0000  .0000
16.00    .0093  .0006  .0000  .0000  .0000  .0000  .0000  .0000
16.25    .0107  .0007  .0000  .0000  .0000  .0000  .0000  .0000
16.50    .0123  .0009  .0000  .0000  .0000  .0000  .0000  .0000
16.75    .0140  .0011  .0000  .0000  .0000  .0000  .0000  .0000
17.00    .0158  .0013  .0000  .0000  .0000  .0000  .0000  .0000
17.25    .0178  .0015  .0001  .0000  .0000  .0000  .0000  .0000
17.50    .0200  .0019  .0001  .0000  .0000  .0000  .0000  .0000
17.75    .0223  .0022  .0001  .0000  .0000  .0000  .0000  .0000
18.00    .0248  .0026  .0001  .0000  .0000  .0000  .0000  .0000
18.25    .0274  .0031  .0002  .0000  .0000  .0000  .0000  .0000
18.50    .0302  .0036  .0002  .0000  .0000  .0000  .0000  .0000
18.75    .0332  .0042  .0002  .0000  .0000  .0000  .0000  .0000
19.00    .0363  .0049  .0003  .0000  .0000  .0000  .0000  .0000
19.25    .0395  .0057  .0004  .0000  .0000  .0000  .0000  .0000
19.50    .0430  .0065  .0005  .0000  .0000  .0000  .0000  .0000
19.75    .0465  .0074  .0006  .0000  .0000  .0000  .0000  .0000
20.00    .0502  .0085  .0007  .0000  .0000  .0000  .0000  .0000
20.25    .0541  .0096  .0008  .0000  .0000  .0000  .0000  .0000
20.50    .0580  .0108  .0010  .0000  .0000  .0000  .0000  .0000
20.75    .0621  .0121  .0012  .0001  .0000  .0000  .0000  .0000
21.00    .0663  .0136  .0014  .0001  .0000  .0000  .0000  .0000
21.25    .0706  .0152  .0016  .0001  .0000  .0000  .0000  .0000
21.50    .0750  .0168  .0019  .0001  .0000  .0000  .0000  .0000
21.75    .0795  .0186  .0023  .0001  .0000  .0000  .0000  .0000
22.00    .0841  .0205  .0026  .0002  .0000  .0000  .0000  .0000
22.25    .0888  .0226  .0030  .0002  .0000  .0000  .0000  .0000
22.50    .0936  .0247  .0035  .0003  .0000  .0000  .0000  .0000
22.75    .0984  .0270  .0040  .0003  .0000  .0000  .0000  .0000
23.00    .1033  .0294  .0046  .0004  .0000  .0000  .0000  .0000
23.25    .1082  .0319  .0052  .0004  .0000  .0000  .0000  .0000
23.50    .1132  .0345  .0059  .0005  .0000  .0000  .0000  .0000
23.75    .1182  .0373  .0067  .0006  .0000  .0000  .0000  .0000

 
 

A.7-7

Table A.7(Continued)
Probability of a Transaction Being Lost

Number of Processors, M

  Mr       25     30     35     40     45     50     55     60
24.00    .1233  .0401  .0075  .0007  .0000  .0000  .0000  .0000
24.25    .1284  .0431  .0084  .0009  .0001  .0000  .0000  .0000
24.50    .1335  .0462  .0094  .0010  .0001  .0000  .0000  .0000
24.75    .1387  .0493  .0105  .0012  .0001  .0000  .0000  .0000
25.00    .1438  .0526  .0116  .0014  .0001  .0000  .0000  .0000
25.25    .1490  .0560  .0129  .0016  .0001  .0000  .0000  .0000
25.50    .1542  .0594  .0142  .0019  .0001  .0000  .0000  .0000
25.75    .1594  .0630  .0156  .0022  .0002  .0000  .0000  .0000
26.00    .1646  .0666  .0171  .0025  .0002  .0000  .0000  .0000
26.25    .1697  .0703  .0188  .0029  .0002  .0000  .0000  .0000
26.50    .1749  .0741  .0205  .0032  .0003  .0000  .0000  .0000
26.75    .1801  .0780  .0222  .0037  .0003  .0000  .0000  .0000
27.00    .1853  .0819  .0241  .0042  .0004  .0000  .0000  .0000
27.25    .1904  .0859  .0261  .0047  .0005  .0000  .0000  .0000
27.50    .1955  .0899  .0282  .0053  .0006  .0000  .0000  .0000
27.75    .2006  .0940  .0303  .0059  .0007  .0000  .0000  .0000
28.00    .2057  .0981  .0326  .0066  .0008  .0001  .0000  .0000
28.25    .2108  .1023  .0350  .0074  .0009  .0001  .0000  .0000
28.50    .2158  .1065  .0374  .0082  .0010  .0001  .0000  .0000
28.75    .2208  .1108  .0399  .0090  .0012  .0001  .0000  .0000
29.00    .2258  .1151  .0425  .0100  .0014  .0001  .0000  .0000
29.25    .2307  .1194  .0452  .0110  .0016  .0001  .0000  .0000
29.50    .2356  .1237  .0480  .0120  .0018  .0002  .0000  .0000
29.75    .2405  .1281  .0508  .0132  .0020  .0002  .0000  .0000
30.00    .2453  .1325  .0538  .0144  .0023  .0002  .0000  .0000
30.50    .2549  .1413  .0598  .0171  .0030  .0003  .0000  .0000
31.00    .2643  .1501  .0662  .0200  .0037  .0004  .0000  .0000
31.50    .2736  .1589  .0727  .0233  .0047  .0006  .0000  .0000
32.00    .2827  .1678  .0795  .0268  .0058  .0008  .0001  .0000
32.50    .2917  .1766  .0865  .0307  .0071  .0010  .0001  .0000
33.00    .3005  .1854  .0937  .0349  .0085  .0013  .0001  .0000
33.50    .3092  .1941  .1010  .0393  .0102  .0017  .0002  .0000
34.00    .3176  .2028  .1084  .0440  .0122  .0021  .0002  .0000
34.50    .3260  .2114  .1159  .0490  .0143  .0027  .0003  .0000
35.00    .3341  .2199  .1235  .0542  .0167  .0033  .0004  .0000
35.50    .3422  .2283  .1311  .0597  .0194  .0041  .0006  .0000
36.00    .3500  .2366  .1388  .0654  .0223  .0050  .0007  .0001
36.50    .3577  .2448  .1465  .0712  .0255  .0061  .0009  .0001
37.00    .3653  .2530  .1543  .0773  .0289  .0073  .0012  .0001
37.50    .3727  .2610  .1620  .0835  .0326  .0087  .0015  .0002
38.00    .3799  .2689  .1697  .0898  .0365  .0103  .0019  .0002
38.50    .3870  .2766  .1774  .0962  .0406  .0121  .0024  .0003
39.00    .3940  .2843  .1851  .1028  .0450  .0141  .0030  .0004
39.50    .4009  .2919  .1927  .1094  .0495  .0163  .0036  .0005
40.00    .4076  .2993  .2002  .1162  .0543  .0187  .0044  .0007
40.50    .4141  .3066  .2077  .1229  .0593  .0213  .0053  .0009
41.00    .4206  .3138  .2152  .1297  .0644  .0241  .0063  .0011
41.50    .4269  .3209  .2225  .1366  .0697  .0272  .0075  .0014
42.00    .4331  .3279  .2298  .1435  .0751  .0305  .0088  .0017
42.50    .4391  .3347  .2371  .1503  .0807  .0339  .0103  .0021
43.00    .4451  .3415  .2442  .1572  .0864  .0376  .0119  .0026
43.50    .4509  .3481  .2513  .1641  .0922  .0414  .0138  .0032
44.00    .4566  .3546  .2582  .1709  .0980  .0455  .0158  .0038
44.50    .4623  .3611  .2651  .1778  .1040  .0497  .0179  .0046
45.00    .4678  .3674  .2719  .1846  .1100  .0541  .0203  .0054
45.50    .4732  .3736  .2786  .1913  .1161  .0587  .0229  .0064

A.7-8

Table A.7(Continued)
Probability of a Transaction Being Lost

Number of Processors, M

  Mr       25     30     35     40     45     50     55     60
46.00    .4785  .3796  .2853  .1980  .1222  .0633  .0256  .0075
46.50    .4837  .3856  .2918  .2047  .1284  .0682  .0285  .0088
46.75    .4862  .3886  .2950  .2080  .1315  .0706  .0301  .0094
47.00    .4888  .3915  .2982  .2113  .1346  .0731  .0316  .0101
47.25    .4913  .3944  .3014  .2146  .1377  .0756  .0333  .0109
47.50    .4938  .3973  .3046  .2179  .1408  .0782  .0349  .0117
47.75    .4963  .4002  .3077  .2211  .1439  .0807  .0366  .0125
48.00    .4987  .4030  .3109  .2244  .1470  .0833  .0384  .0134
48.25    .5011  .4058  .3140  .2276  .1501  .0860  .0402  .0143
48.50    .5035  .4086  .3170  .2308  .1532  .0886  .0420  .0152
48.75    .5059  .4114  .3201  .2340  .1563  .0912  .0439  .0162
49.00    .5083  .4141  .3231  .2372  .1594  .0939  .0458  .0172
49.25    .5106  .4168  .3261  .2404  .1625  .0966  .0477  .0182
49.50    .5129  .4195  .3291  .2435  .1656  .0993  .0497  .0193
49.75    .5152  .4222  .3321  .2467  .1686  .1020  .0517  .0205
50.00    .5175  .4248  .3350  .2498  .1717  .1048  .0537  .0217