nr 1 0 1 2 0 1 2 3 0 1 2 3 4 0 1 2 3 4 5 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 0 1 ...

742 Appendix A Statistical Tables and ProofsrTable A.l Binomial Probability Sums YI b(x;n,p)x=0nr1 012 0123 01234 012345 0123456 01234567 012345670.100.90001.00000.81000.99001.00000.72900.97200.99901.00000.65610.94770.99630.99991.00000.59050.91850.99140.99951.00001.00000.53140.88570.98420.99870.99991.00001.00000.47830.85030.97430.99730.99981.00000.200.80001.00000.64000.96001.00000.51200.89600.99201.00000.40960.81920.97280.99841.00000.32770.73730.94210.99330.99971.00000.26210.65540.90110.98300.99840.99991.00000.20970.57670.85200.96670.99530.99961.00000.250.75001.00000.56250.93751.00000.42190.84380.98441.00000.31640.73830.94920.99611.00000.23730.63280.89650.98440.99901.00000.17800.53390.83060.96240.99540.99981.00000.13350.44490.75640.92940.98710.99870.99991.00000.300.70001.00000.49000.91001.00000.34300.78400.97301.00000.24010.65170.91630.99191.00000.16810.52820.83690.96920.99761.00000.11760.42020.74430.92950.98910.99931.00000.08240.32940.64710.87400.97120.99620.99981.0000I0.400.60001.00000.36000.84001.00000.21600.64800.93601.00000.12960.47520.82080.97441.00000.07780.33700.68260.91300.98981.00000.04670.23330.54430.82080.95900.99591.00000.02800.15860.41990.71020.90370.98120.99841.0000»0.500.50001.00000.25000.75001.00000.12500.50000.87501.00000.06250.31250.68750.93751.00000.03130.18750.50000.81250.96881.00000.01560.10940.34380.65630.89060.98441.00000.00780.06250.22660.50000.77340.93750.99221.00000.600.40001.00000.16000.64001.00000.06400.35200.78401.00000.02560.17920.52480.87041.00000.01020.08700.31740.66300.92221.00000.00410.04100.17920.45570.76670.95331.00000.00160.01880.09630.28980.58010.84140.97201.00000.700.30001.00000.09000.51001.00000.02700.21600.65701.00000.00810.08370.34830.75991.00000.00240.03080.16310.47180.83191.00000.00070.01090.07050.25570.57980.88241.00000.00020.00380.02880.12600.35290.67060.91761.00000.800.20001.00000.04000.36001.00000.00800.10400.48801.00000.00160.02720.18080.59041.00000.00030.00670.05790.26270.67231.00000.00010.00160.01700.09890.34460.73791.00000.00000.00040.00470.03330.14800.42330.79031.00000.900.10001.00000.01000.19001.00000.00100.02800.27101.00000.00010.00370.05230.34391.00000.00000.00050.00860.08150.40951.00000.00000.00010.00130.01590.11430.46861.00000.00000.00020.00270.02570.14970.52171.0000

748 Appendix A Statistical Tables and ProofsTable A.2 Poisson Probability Sums YI Pi x \ M)x=0r01234560.10.90480.99530.99981.00000.20.81870.98250.99890.99991.00000.30.74080.96310.99640.99971.00000.40.67030.93840.99210.99920.99991.0000P0.50.60650.90980.98560.99820.99981.00000.60.54880.87810.97690.99660.99961.00000.70.49660.84420.96590.99420.99920.99991.00000.80.44930.80880.95260.99090.99860.99981.00000.90.40660.77250.93710.98650.99770.99971.0000r0123456789101112131415161.00.36790.73580.91970.98100.99630.99940.99991.00001.50.22310.55780.80880.93440.98140.99550.99910.99981.00002.00.13530.40600.67670.85710.94730.98340.99550.99890.99981.00002.50.08210.28730.54380.75760.89120.95800.98580.99580.99890.99970.99991.0000M3.00.04980.19910.42320.64720.81530.91610.96650.98810.99620.99890.99970.99991.00003.50.03020.13590.32080.53660.72540.85760.93470.97330.99010.99670.99900.99970.99991.00004.00.01830.09160.23810.43350.62880.78510.88930.94890.97860.99190.99720.99910.99970.99991.00004.50.01110.06110.17360.34230.53210.70290.83110.91340.95970.98290.99330.99760.99920.99970.99991.00005.00.00670.04040.12470.26500.44050.61600.76220.86660.93190.96820.98630.99450.99800.99930.99980.99991.0000

Table A.2 Poisson Probability Table 749Table A.2 (continued) Poisson Probability Sums YL Pi x '-> u )x=0r01234567891011121314151617181920212223245.50.00410.02660.08840.20170.35750.52890.68600.80950.89440.94620.97470.98900.99550.99830.99940.99980.99991.00006.00.00250.01740.06200.15120.28510.44570.60630.74400.84720.91610.95740.97990.99120.99640.99860.99950.99980.99991.00006.50.00150.01130.04300.11180.22370.36900.52650.67280.79160.87740.93320.96610.98400.99290.99700.99880.99960.99980.99991.00007.00.00090.00730.02960.08180.17300.30070.44970.59870.72910.83050.90150.94670.97300.98720.99430.99760.99900.99960.99991.0000/*7.50.00060.00470.02030.05910.13210.24140.37820.52460.66200.77640.86220.92080.95730.97840.98970.99540.99800.99920.99970.99998.00.00030.00300.01380.04240.09960.19120.31340.45300.59250.71660.81590.88810.93620.96580.98270.99180.99630.99840.99930.99970.99991.00008.50.00020.00190.00930.03010.07440.14960.25620.38560.52310.65300.76340.84870.90910.94860.97260.98620.99340.99700.99870.99950.99980.99991.00009.00.00010.00120.00620.02120.05500.11570.20680.32390.45570.58740.70600.80300.87580.92610.95850.97800.98890.99470.99760.99890.99960.99980.99991.00009.50.00010.00080.00420.01490.04030.08850.16490.26870.39180.52180.64530.75200.83640.89810.94000.96650.98230.99110.99570.99800.99910.99960.99990.99991.0000

750 Appendix A Statistical Tables and ProofsTable A.2 (continued) Poisson Probability Sums YI Pi x i l l )x=0r01234567891011121314151617181920212223242526272829303132333435363710.00.00000.00050.00280.01030.02930.06710.13010.22020.33280.45790.58300.69680.79160.86450.91650.95130.97300.98570.99280.99650.99840.99930.99970.99991.000011.00.00000.00020.00120.00490.01510.03750.07860.14320.23200.34050.45990.57930.68870.78130.85400.90740.94410.96780.98230.99070.99530.99770.99900.99950.99980.99991.000012.00.00000.00010.00050.00230.00760.02030.04580.08950.15500.24240.34720.46160.57600.68150.77200.84440.89870.93700.96260.97870.98840.99390.99700.99850.99930.99970.99990.99991.000013.00.00000.00020.00110.00370.01070.02590.05400.09980.16580.25170.35320.46310.57300.67510.76360.83550.89050.93020.95730.97500.98590.99240.99600.99800.99900.99950.99980.99991.0000P14.00.00000.00010.00050.00180.00550.01420.03160.06210.10940.17570.26000.35850.46440.57040.66940.75590.82720.88260.92350.95210.97120.98330.99070.99500.99740.99870.99940.99970.99990.99991.000015.00.00000.00020.00090.00280.00760.01800.03740.06990.11850.18480.26760.36320.46570.56810.66410.74890.81950.87520.91700.94690.96730.98050.98880.99380.99670.99830.99910.99960.99980.99991.000016.00.00000.00010.00040.00140.00400.01000.02200.04330.07740.12700.19310.27450.36750.46670.56600.65930.74230.81220.86820.91080.94180.96330.97770.98690.99250.99590.99780.99890.99940.99970.99990.99991.000017.00.00000.00020.00070.00210.00540.01260.02610.04910.08470.13500.20090.28080.37150.46770.56400.65500.73630.80550.86150.90470.93670.95940.97480.98480.99120.99500.99730.99860.99930.99960.99980.99991.000018.80.00000.00010.00030.00100.00290.00710.01540.03040.05490.09170.14260.20810.28670.37510.46860.56220.65090.73070.79910.85510.89890.93170.95540.97180.98270.98970.99410.99670.99820.99900.99950.99980.99990.99991.0000

Table A.3 Normal Probability Table 751Table A.3 Areas under the Normal Curve.00 .01 .02 .03 .04 .05 .06 .07 .08 .093.43.33.23.13.02.92.82.72.62.52.42.32.22.12.01.91.81.71.61.51.41.31.21.11.00.90.80.70.60.50.40.30.20.10.00.00030.00050.00070.00100.00130.00190.00260.00350.00470.00620.00820.01070.01390.01790.02280.02870.03.590.04460.05480.06680.08080.09680.11510.13570.15870.18410.21190.24200.27430.30850.34460.38210.42070.46020.50000.00030.00050.00070.00090.00130.00180.00250.00340.00450.00600.00800.01040.01360.01710.02220.02810.03510.04360.05370.06550.07930.09510.11310.13350.15620.18140.20900.23890.27090.30500.34090.37830.41680.45620.49600.00030.00050.00060.00090.00130.00180.00240.00330.00440.00590.00780.01020.01320.01700.02170.02740.03440.04270.05260.06430.077S0.09340.11120.13140.15390.17880.20610.23580.26760.30150.33720.37450.4L 2 90.45220.49200.00030.00040.00060.00090.00120.00170.00230.00320.00430.00570.00750.00990.01290.01660.02120.02080.03360.04180.05160.06300.07640.09180.10930.12920.15150.17620.20330.23270.26430.29810.33360.37070.40900.44830.48800.00030.00040.00060.00080.00120.00IG0.00230.(10310.00410.00550.00730.00960.01250.01620.02070.02620.03290.04090.05050.00180.07490.09010.10750.12710.11920.17360.20050.22960.26110.29460.33000.36690.40520.44430.48400.00030.00040.00060.00080.00110.00160.00220.00300.00400.00540.00710.00940.01220.01580.02020.02560.03220.04010.04950.06060.07350.08850.10560.12510.14690.17110.19770.22060.25780.29120.32640.36320.40130.44040.48010.00030.00040.00060.00080.00110.00150.00210.00290.00390.00520.00690.00910.01190.01540.01970.02500.03140.03920.04850.05910.07210.08690.103811.12300.14460.16850.19490.22360.25460.28770.32280.35940.39740.43640.47610.00030.00040.00050.00080.00110.00150.00210.00280.00380.00510.00680.00890.01100.01500.01920.02440.03070.03840.04750.05820.07080.08530.10200.12100.14230.16600.19220.22060.25140.28430.31920.35570.39360.43250.47210.00030.00040.00050.00070.00100.0(1140.00200.00270.00370.00490.00660.00870.01130.01460.01880.02390.03010.03750.04650.05710.06940.08380.10030.11900.14010.16350.18940.21770.24830.28100.31560.35200.38970.42860.46810.00020.00030.00050.00070.00100.001 10.00190.00260.00360.00480.00640.00840.01100.01430.01830.02330.02940.03670.04550.05590.06810.08230.09850.11700.13790.16110.18070.21480.24510.27760.31210.34830.38590.42470.4641

752 Appendix A Statistical Tables and ProofsTable A.3 (continued) Areas under the Normal Curve:z0.00.10.20.30.40.50.60.70.80.91.01.11.21.31.41.51.61.71.81.92.02.12.22.32.42.52.62.72.82.93.03.13.23.33.4.000.50000.53980.57930.61790.65540.69150.72570.75800.78810.81590.84130.86430.88490.90320.91920.93320.94520.95540.96410.97130.97720.98210.98610.98930.99180.99380.99530.99650.99740.99810.99870.99900.99930.99950.9997.010.50400.51380.58320.62170.65910.69500.72910.76110.79100.81860.84380.86650.88690.90490.92070.93450.94630.95640.96490.97190.97780.98260.98640.98960.99200.99400.99550.99660.99750.99820.99870.99910.99930.99950.9997.020.50800.54780.58710.62550.66280.69850.73240.76420.79390.82120.84610.86860.88880.90660.92220.93570.94740.95730.96560.97260.97830.98300.98680.98980.99220.99410.99560.99670.99760.99820.99870.99910.99940.99950.9997.030.51200.55170.59100.62930.66640.70190.73570.76730.79670.82380.84850.87080.89070.90820.1)2360.93700.94840.95820.96640.97320.97880.98340.98710.99010.99250.99430.99570.99680.99770.99830.99880.99910.09940.99960.9097.040.51600.55570.59480.63310.67000.70540.73890.77010.79950.82640.85080.87290.89250.90990.92510.93820.94950.95910.96710.97380.97930.98380.98750.99040.99270.99450.99590.99690.99770.99840.99880.99920.99940.99960.9997.050.51990.55960.59870.63680.67360.70880.74220.77340.80230.82890.85310.87490.89440.91150.92650.93940.95050.95990.9G780.97440.97980.98420.98780.99060.99290.99460.99600.99700.99780.99840.99890.99920.99940.99960.9997.060.52390.56360.60260.64060.67720.71230.74540.77640.80510.83150.85540.87700.89620.91310.92790.94060.95150.96080.96860.97500.98030.98460.98810.99090.99310.99480.99610.99710.99790.99850.99890.99920.99940.99960.9997.070.52790.56750.60640.64430.68080.71570.74860.77940.80780.83400.85770.87900.89800.91470.92920.94180.95250.96160.96930.97560.98080.98500.98840.99110.99320.99490.99620.99720.99790.99850.99890.99920.99950.99960.9997.080.53190.57140.61030.64800.68440.71900.75170.78230.81060.83650.85990.88100.89970.91620.93060.94290.95350.96250.96990.97610.98120.98540.98870.99130.99340.99510.99630.99730.99800.99860.99900.99930.99950.99960.9997.090.53590.57530.61410.65170.68790.72240.75490.78520.81330.83890.86210.88300.90150.91770.93190.94410.95450.96330.97060.97670.98170.98570.98900.99160.99360.99520.99640.99740.99810.99860.99900.99930.99950.99970.9998