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標準正規分布表(簡易)

1. 正規分布(簡易)  |  2. 正規分布(下側)  |  3. 正規分布(上側)

0からzまでの確率(下側確率−0.5)

表側と表頭の和 z に対して,標準正規分布に従う変数が 0 以上かつ z 以下となる確率を示す。 Φ(z) は標準正規分布の分布関数(下側確率)である。 \[ z\longmapsto \varPhi (z)-0.5=\text{Pr}\{0\leq X\leq z\}\qquad (0\leq z) \]

.00.01.02.03.04.05.06.07.08.09
0.0.0000.0040.0080.0120.0160.0199.0239.0279.0319.0359
0.1.0398.0438.0478.0517.0557.0596.0636.0675.0714.0753
0.2.0793.0832.0871.0910.0948.0987.1026.1064.1103.1141
0.3.1179.1217.1255.1293.1331.1368.1406.1443.1480.1517
0.4.1554.1591.1628.1664.1700.1736.1772.1808.1844.1879
0.5.1915.1950.1985.2019.2054.2088.2123.2157.2190.2224
0.6.2257.2291.2324.2357.2389.2422.2454.2486.2517.2549
0.7.2580.2611.2642.2673.2704.2734.2764.2794.2823.2852
0.8.2881.2910.2939.2967.2995.3023.3051.3078.3106.3133
0.9.3159.3186.3212.3238.3264.3289.3315.3340.3365.3389
.00.01.02.03.04.05.06.07.08.09
1.0.3413.3438.3461.3485.3508.3531.3554.3577.3599.3621
1.1.3643.3665.3686.3708.3729.3749.3770.3790.3810.3830
1.2.3849.3869.3888.3907.3925.3944.3962.3980.3997.4015
1.3.4032.4049.4066.4082.4099.4115.4131.4147.4162.4177
1.4.4192.4207.4222.4236.4251.4265.4279.4292.4306.4319
1.5.4332.4345.4357.4370.4382.4394.4406.4418.4429.4441
1.6.4452.4463.4474.4484.4495.4505.4515.4525.4535.4545
1.7.4554.4564.4573.4582.4591.4599.4608.4616.4625.4633
1.8.4641.4649.4656.4664.4671.4678.4686.4693.4699.4706
1.9.4713.4719.4726.4732.4738.4744.4750.4756.4761.4767
.00.01.02.03.04.05.06.07.08.09
2.0.4772.4778.4783.4788.4793.4798.4803.4808.4812.4817
2.1.4821.4826.4830.4834.4838.4842.4846.4850.4854.4857
2.2.4861.4864.4868.4871.4875.4878.4881.4884.4887.4890
2.3.4893.4896.4898.4901.4904.4906.4909.4911.4913.4916
2.4.4918.4920.4922.4925.4927.4929.4931.4932.4934.4936
2.5.4938.4940.4941.4943.4945.4946.4948.4949.4951.4952
2.6.4953.4955.4956.4957.4959.4960.4961.4962.4963.4964
2.7.4965.4966.4967.4968.4969.4970.4971.4972.4973.4974
2.8.4974.4975.4976.4977.4977.4978.4979.4979.4980.4981
2.9.4981.4982.4982.4983.4984.4984.4985.4985.4986.4986
.00.01.02.03.04.05.06.07.08.09
3.0.4987.4987.4987.4988.4988.4989.4989.4989.4990.4990
3.1.4990.4991.4991.4991.4992.4992.4992.4992.4993.4993
3.2.4993.4993.4994.4994.4994.4994.4994.4995.4995.4995
3.3.4995.4995.4995.4996.4996.4996.4996.4996.4996.4997
3.4.4997.4997.4997.4997.4997.4997.4997.4997.4997.4998
3.5.4998.4998.4998.4998.4998.4998.4998.4998.4998.4998
3.6.4998.4998.4999.4999.4999.4999.4999.4999.4999.4999
3.7.4999.4999.4999.4999.4999.4999.4999.4999.4999.4999
3.8.4999.4999.4999.4999.4999.4999.4999.4999.4999.4999
3.9.5000.5000.5000.5000.5000.5000.5000.5000.5000.5000

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標準正規分布表(下側確率)

1. 正規分布(簡易)  |  2. 正規分布(下側)  |  3. 正規分布(上側)

z以下の確率(下側確率)

表側と表頭の和 z に対して,標準正規分布に従う変数が z 以下となる確率を示す。 Φ(z) は標準正規分布の分布関数(下側確率)である。 \[ z\longmapsto \varPhi (z)=\text{Pr}\{-\infty <X\leq z\} \]

.00.01.02.03.04.05.06.07.08.09
0.0.5000.5040.5080.5120.5160.5199.5239.5279.5319.5359
0.1.5398.5438.5478.5517.5557.5596.5636.5675.5714.5753
0.2.5793.5832.5871.5910.5948.5987.6026.6064.6103.6141
0.3.6179.6217.6255.6293.6331.6368.6406.6443.6480.6517
0.4.6554.6591.6628.6664.6700.6736.6772.6808.6844.6879
0.5.6915.6950.6985.7019.7054.7088.7123.7157.7190.7224
0.6.7257.7291.7324.7357.7389.7422.7454.7486.7517.7549
0.7.7580.7611.7642.7673.7704.7734.7764.7794.7823.7852
0.8.7881.7910.7939.7967.7995.8023.8051.8078.8106.8133
0.9.8159.8186.8212.8238.8264.8289.8315.8340.8365.8389
 
.00.01.02.03.04.05.06.07.08.09
1.0.8413.8438.8461.8485.8508.8531.8554.8577.8599.8621
1.1.8643.8665.8686.8708.8729.8749.8770.8790.8810.8830
1.2.8849.8869.8888.8907.8925.8944.8962.8980.8997.9015
1.3.9032.9049.9066.9082.9099.9115.9131.9147.9162.9177
1.4.9192.9207.9222.9236.9251.9265.9279.9292.9306.9319
1.5.9332.9345.9357.9370.9382.9394.9406.9418.9429.9441
1.6.9452.9463.9474.9484.9495.9505.9515.9525.9535.9545
1.7.9554.9564.9573.9582.9591.9599.9608.9616.9625.9633
1.8.9641.9649.9656.9664.9671.9678.9686.9693.9699.9706
1.9.9713.9719.9726.9732.9738.9744.9750.9756.9761.9767
 
.00.01.02.03.04.05.06.07.08.09
2.0.9772.9778.9783.9788.9793.9798.9803.9808.9812.9817
2.1.9821.9826.9830.9834.9838.9842.9846.9850.9854.9857
2.2.9861.9864.9868.9871.9875.9878.9881.9884.9887.9890
2.3.9893.9896.9898.9901.9904.9906.9909.9911.9913.9916
2.4.9918.9920.9922.9925.9927.9929.9931.9932.9934.9936
2.5.9938.9940.9941.9943.9945.9946.9948.9949.9951.9952
2.6.9953.9955.9956.9957.9959.9960.9961.9962.9963.9964
2.7.9965.9966.9967.9968.9969.9970.9971.9972.9973.9974
2.8.9974.9975.9976.9977.9977.9978.9979.9979.9980.9981
2.9.9981.9982.9982.9983.9984.9984.9985.9985.9986.9986
 
.00.01.02.03.04.05.06.07.08.09
3.0.9987.9987.9987.9988.9988.9989.9989.9989.9990.9990
3.1.9990.9991.9991.9991.9992.9992.9992.9992.9993.9993
3.2.9993.9993.9994.9994.9994.9994.9994.9995.9995.9995
3.3.9995.9995.9995.9996.9996.9996.9996.9996.9996.9997
3.4.9997.9997.9997.9997.9997.9997.9997.9997.9997.9998
3.5.9998.9998.9998.9998.9998.9998.9998.9998.9998.9998
3.6.9998.9998.9999.9999.9999.9999.9999.9999.9999.9999
3.7.9999.9999.9999.9999.9999.9999.9999.9999.9999.9999
3.8.9999.9999.9999.9999.9999.9999.9999.9999.9999.9999
3.91.0001.0001.0001.0001.0001.0001.0001.0001.0001.000

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標準正規分布表(上側確率)

1. 正規分布(簡易)  |  2. 正規分布(下側)  |  3. 正規分布(上側)

z以上の確率(1−下側確率)

表側と表頭の和 z に対して,標準正規分布に従う変数が z を超える確率を示す。 Φ(z) は標準正規分布の分布関数(下側確率)である。 \[ z\longmapsto 1-\varPhi (z)=\text{Pr}\{z<X<\infty\} \]

.00.01.02.03.04.05.06.07.08.09
0.0.5000.4960.4920.4880.4840.4801.4761.4721.4681.4641
0.1.4602.4562.4522.4483.4443.4404.4364.4325.4286.4247
0.2.4207.4168.4129.4090.4052.4013.3974.3936.3897.3859
0.3.3821.3783.3745.3707.3669.3632.3594.3557.3520.3483
0.4.3446.3409.3372.3336.3300.3264.3228.3192.3156.3121
0.5.3085.3050.3015.2981.2946.2912.2877.2843.2810.2776
0.6.2743.2709.2676.2643.2611.2578.2546.2514.2483.2451
0.7.2420.2389.2358.2327.2296.2266.2236.2206.2177.2148
0.8.2119.2090.2061.2033.2005.1977.1949.1922.1894.1867
0.9.1841.1814.1788.1762.1736.1711.1685.1660.1635.1611
 
.00.01.02.03.04.05.06.07.08.09
1.0.1587.1562.1539.1515.1492.1469.1446.1423.1401.1379
1.1.1357.1335.1314.1292.1271.1251.1230.1210.1190.1170
1.2.1151.1131.1112.1093.1075.1056.1038.1020.1003.0985
1.3.0968.0951.0934.0918.0901.0885.0869.0853.0838.0823
1.4.0808.0793.0778.0764.0749.0735.0721.0708.0694.0681
1.5.0668.0655.0643.0630.0618.0606.0594.0582.0571.0559
1.6.0548.0537.0526.0516.0505.0495.0485.0475.0465.0455
1.7.0446.0436.0427.0418.0409.0401.0392.0384.0375.0367
1.8.0359.0351.0344.0336.0329.0322.0314.0307.0301.0294
1.9.0287.0281.0274.0268.0262.0256.0250.0244.0239.0233
 
.00.01.02.03.04.05.06.07.08.09
2.0.0228.0222.0217.0212.0207.0202.0197.0192.0188.0183
2.1.0179.0174.0170.0166.0162.0158.0154.0150.0146.0143
2.2.0139.0136.0132.0129.0125.0122.0119.0116.0113.0110
2.3.0107.0104.0102.0099.0096.0094.0091.0089.0087.0084
2.4.0082.0080.0078.0075.0073.0071.0069.0068.0066.0064
2.5.0062.0060.0059.0057.0055.0054.0052.0051.0049.0048
2.6.0047.0045.0044.0043.0041.0040.0039.0038.0037.0036
2.7.0035.0034.0033.0032.0031.0030.0029.0028.0027.0026
2.8.0026.0025.0024.0023.0023.0022.0021.0021.0020.0019
2.9.0019.0018.0018.0017.0016.0016.0015.0015.0014.0014
 
.00.01.02.03.04.05.06.07.08.09
3.0.0013.0013.0013.0012.0012.0011.0011.0011.0010.0010
3.1.0010.0009.0009.0009.0008.0008.0008.0008.0007.0007
3.2.0007.0007.0006.0006.0006.0006.0006.0005.0005.0005
3.3.0005.0005.0005.0004.0004.0004.0004.0004.0004.0003
3.4.0003.0003.0003.0003.0003.0003.0003.0003.0003.0002
3.5.0002.0002.0002.0002.0002.0002.0002.0002.0002.0002
3.6.0002.0002.0001.0001.0001.0001.0001.0001.0001.0001
3.7.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001
3.8.0001.0001.0001.0001.0001.0001.0001.0001.0001.0001
3.9.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000

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標準正規分布表(確率)

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2016.8.9 作成 / 2020.2.19 更新

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