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Normal Distribution Function (-∞, z)

This normal distribution function gives the probability that a standard normal variate assumes a value in the interval [-∞, 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 .846136
    See How To Read Numbers in Tables.
  • The result is 0.846136
Z0123456789
0.0.500000.503989.507978.511966.515953.519939.523922.527903.531881.535856
0.1.539828.543795.547758.551717.555670.559618.563559.567495.571424.575345
0.2.579260.583166.587064.590954.594835.598706.602568.606420.610261.614092
0.3.617911.621720.625516.629300.633072.636831.640576.644309.648027.651732
0.4.655422.659097.662757.666402.670031.673645.677242.680822.684386.687933
0.5.691462.694974.698468.701944.705401.708840.712260.715661.719043.722405
0.6.725747.729069.732371.735653.738914.742154.745373.748571.751748.754903
0.7.758036.761148.764238.767305.770350.773373.776373.779350.782305.785236
0.8.788145.791030.793892.796731.799546.802337.805105.807850.810570.813267
0.9.815940.818589.821214.823814.826391.828944.831472.833977.836457.838913
Z0123456789
1.0.841345.843752.846136.848495.850830.853141.855428.857690.859929.862143
1.1.864334.866500.868643.870762.872857.874928.876976.879000.881000.882977
1.2.884930.886861.888768.890651.892512.894350.896165.897958.899727.901475
1.3.903200.904902.906582.908241.909877.911492.913085.914657.916207.917736
1.4.919243.920730.922196.923641.925066.926471.927855.929219.930563.931888
1.5.933193.934478.935745.936992.938220.939429.940620.941792.942947.944083
1.6.945201.946301.947384.948449.949497.950529.951543.952540.953521.954486
1.7.955435.956367.957284.958185.959070.959941.960796.961636.962462.963273
1.8.964070.964852.965620.966375.967116.967843.968557.969258.969946.970621
1.9.971283.971933.972571.973197.973810.974412.975002.975581.976148.976705
Z0123456789
2.0.977250.977784.978308.978822.979325.979818.980301.980774.981237.981691
2.1.982136.982571.982997.983414.983823.984222.984614.984997.985371.985738
2.2.986097.986447.986791.987126.987455.987776.988089.988396.988696.988989
2.3.989276.989556.989830.990097.990358.990613.990863.991106.991344.991576
2.4.991802.992024.992240.992451.992656.992857.993053.993244.993431.993613
2.5.993790.993963.994132.994297.994457.994614.994766.994915.995060.995201
2.6.995339.995473.995604.995731.995855.995975.996093.996207.996319.996427
2.7.996533.996636.996736.996833.996928.997020.997110.997197.997282.997365
2.8.997445.997523.997599.997673.997744.997814.997882.997948.998012.998074
2.9.998134.998193.998250.998305.998359.998411.998462.998511.998559.998605
Z0123456789
3.0.998650.998694.998736.998777.998817.998856.998893.998930.998965.998999
3.1.999032.999065.999096.999126.999155.999184.999211.999238.999264.999289
3.2.999313.999336.999359.999381.999402.999423.999443.999462.999481.999499
3.3.999517.999534.999550.999566.999581.999596.999610.999624.999638.999651
3.4.999663.999675.999687.999698.999709.999720.999730.999740.999749.999758
3.5.999767.999776.999784.999792.999800.999807.999815.999822.999828.999835
3.6.999841.999847.999853.999858.999864.999869.999874.999879.999883.999888
3.7.999892.999896.999900.999904.999908.999912.999915.999918.999922.999925
3.8.999928.999931.999933.999936.999938.999941.999943.999946.999948.999950
3.9.999952.999954.999956.999958.999959.999961.999963.999964.999966.999967
Z0123456789
4.0.999968.999970.999971.999972.999973.999974.999975.999976.999977.999978
4.1.999979.999980.999981.999982.999983.999983.999984.999985.999985.999986
4.2.999987.999987.999988.999988.999989.999989.999990.999990.999991.999991
4.3.999991.999992.999992.999993.999993.999993.999993.999994.999994.999994
4.4.999995.999995.999995.999995.999996.999996.999996.999996.999996.999996
4.5.999997.999997.999997.999997.999997.999997.999997.999998.999998.999998
4.6.999998.999998.999998.999998.999998.999998.999998.999998.999999.999999
4.7.999999.999999.999999.999999.999999.999999.999999.999999.999999.999999
4.8.999999.999999.999999.999999.999999.999999.999999.999999.999999.999999
4.91.000001.000001.000001.000001.000001.000001.000001.000001.000001.00000
5.01.000001.000001.000001.000001.000001.000001.000001.000001.000001.00000


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