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Normal Distribution Function (-z, z)

This normal distribution function gives the probability that a standard normal variate assumes a value in the interval [-z, z],

How To Use:

  • You need to find the value of Φ(Z) at Z = 1.02
  • Find the row with Z = 1.0
  • Find the column 2, the number inside the cell is .692272
    See How To Read Numbers in Tables.
  • The result is 0.692272
Z0123456789
0.003z79787.015957.023933.031907.039878.047844.055806.063763.071713
0.1.079656.087591.095517.103434.111340.119235.127119.134990.142847.150691
0.2.158519.166332.174129.181908.189670.197413.205136.212840.220522.228184
0.3.235823.243439.251032.258600.266143.273661.281153.288618.296055.303463
0.4.310843.318194.325515.332804.340063.347290.354484.361645.368773.375866
0.5.382925.389949.396936.403888.410803.417681.424521.431322.438085.444809
0.6.451494.458138.464742.471305.477827.484308.490746.497142.503496.509806
0.7.516073.522296.528475.534610.540700.546745.552745.558700.564609.570472
0.8.576289.582060.587784.593461.599092.604675.610211.615700.621141.626534
0.9.631880.637177.642427.647629.652782.657888.662945.667954.672914.677826
Z0123456789
1.0.682689.687505.692272.696990.701660.706282.710855.715381.719858.724287
1.1.728668.733001.737286.741524.745714.749856.753951.757999.762000.765954
1.2.769861.773721.777535.781303.785025.788700.792331.795915.799455.802949
1.3.806399.809804.813165.816482.819755.822984.826170.829313.832413.835471
1.4.838487.841460.844392.847283.850133.852941.855710.858438.861127.863776
1.5.866386.868957.871489.873983.876440.878858.881240.883585.885893.888165
1.6.890401.892602.894768.896899.898995.901057.903086.905081.907043.908972
1.7.910869.912734.914568.916370.918141.919882.921592.923273.924924.926546
1.8.928139.929704.931241.932750.934232.935686.937114.938516.939892.941242
1.9.942567.943867.945142.946393.947620.948824.950004.951162.952296.953409
Z0123456789
2.0.954500.955569.956617.957643.958650.959636.960601.961548.962474.963382
2.1.964271.965142.965994.966828.967645.968445.969227.969993.970743.971476
2.2.972193.972895.973581.974253.974909.975551.976179.976792.977392.977979
2.3.978552.979112.979659.980194.980716.981227.981725.982212.982687.983152
2.4.983605.984047.984479.984901.985313.985714.986106.986489.986862.987226
2.5.987581.987927.988265.988594.988915.989228.989533.989830.990120.990402
2.6.990678.990946.991207.991462.991709.991951.992186.992415.992638.992855
2.7.993066.993272.993472.993667.993856.994040.994220.994394.994564.994729
2.8.994890.995046.995198.995345.995489.995628.995764.995895.996023.996148
2.9.996268.996386.996500.996610.996718.996822.996924.997022.997118.997210
Z0123456789
3.0.997300.997388.997472.997554.997634.997712.997787.997859.997930.997998
3.1.998065.998129.998191.998252.998311.998367.998422.998476.998527.998577
3.2.998626.998673.998718.998762.998805.998846.998886.998925.998962.998998
3.3.999033.999067.999100.999132.999162.999192.999221.999248.999275.999301
3.4.999326.999350.999374.999396.999418.999439.999460.999480.999499.999517
3.5.999535.999552.999568.999584.999600.999615.999629.999643.999656.999669
3.6.999682.999694.999705.999717.999727.999738.999748.999757.999767.999776
3.7.999784.999793.999801.999809.999816.999823.999830.999837.999843.999849
3.8.999855.999861.999867.999872.999877.999882.999887.999891.999896.999900
3.9.999904.999908.999911.999915.999919.999922.999925.999928.999931.999934
Z0123456789
4.0.999937.999939.999942.999944.999947.999949.999951.999953.999955.999957
4.1.999959.999960.999962.999964.999965.999967.999968.999970.999971.999972
4.2.999973.999974.999976.999977.999978.999979.999980.999980.999981.999982
4.3.999983.999984.999984.999985.999986.999986.999987.999988.999988.999989
4.4.999989.999990.999990.999991.999991.999991.999992.999992.999993.999993
4.5.999993.999994.999994.999994.999994.999995.999995.999995.999995.999996
4.6.999996.999996.999996.999996.999997.999997.999997.999997.999997.999997
4.7.999997.999998.999998.999998.999998.999998.999998.999998.999998.999998
4.8.999998.999998.999999.999999.999999.999999.999999.999999.999999.999999
4.9.999999.999999.999999.999999.999999.999999.999999.999999.999999.999999
5.0.999999.999999.9999991.000001.000001.000001.000001.000001.000001.00000
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