Dáileadh Gnáth

Is dáileadh dóchúlachta leanúnach é gnáth-dháileadh. Tugtar dáileadh Gaussach air freisin.

Tugtar Cuar Bell ar ghnáthfheidhm dlús dáileacháin f (z) toisc go bhfuil an cruth aige atá cosúil le clog.

Úsáidtear gnáth-thábla dáilte caighdeánach chun an limistéar faoin bhfeidhm f ( z ) a fháil d’fhonn dóchúlacht raon dáilte sonraithe a fháil.

Gnáthfheidhm dáilte

Nuair a bhíonn dáileadh gnáth ag athróg randamach X,

Feidhm dlús dóchúlachta agus feidhm dáileacháin charnach an ghnáthdháilte:

 

Feidhm dlús dóchúlachta (pdf)

Tugtar an fheidhm dlús dóchúlachta trí:

f_ {X} (x) = \ frac {1} {\ sigma \ sqrt {2 \ pi}} e ^ {- \ frac {(x- \ mu) ^ 2} {2 \ sigma ^ 2}}

Is é X an athróg randamach.

Is é μ an meánluach.

Is é σ an luach caighdeánach diall (std).

e = 2.7182818 ... tairiseach.

π = 3.1415926 ... tairiseach.

 

Feidhm dáilte carnach

Tugtar an fheidhm dáileacháin charnach trí:

F_ {X} (x) = \ frac {1} {\ sigma \ sqrt {2 \ pi}} \ int _ {- \ infty} ^ {x} e ^ {- \ frac {(y- \ mu) ^ 2 } {2 \ sigma ^ 2}} dy

Is é X an athróg randamach.

Is é μ an meánluach.

Is é σ an luach caighdeánach diall (std).

e = 2.7182818 ... tairiseach.

π = 3.1415926 ... tairiseach.

Gnáthfheidhm dáilte caighdeánach

Cathain

Ansin feidhm dlús dóchúlachta agus feidhm dáileacháin charnach an ghnáthdháilte chaighdeánaigh:

Feidhm dlús dóchúlachta

Feidhm dáilte carnach

Tábla dáilte caighdeánach gnáth

z Φ ( z ) φ ( z )
0.00 0.5000 0.3989
0.01 0.5040 0.3989
0.02 0.5080 0.3989
0.03 0.5120 0.3988
0.04 0.5160 0.3986
0.05 0.5199 0.3984
0.06 0.5239 0.3982
0.07 0.5279 0.3980
0.08 0.5319 0.3977
0.09 0.5359 0.3973
0.10 0.5398 0.3970
0.11 0.5438 0.3965
0.12 0.5478 0.3961
0.13 0.5517 0.3956
0.14 0.5557 0.3951
0.15 0.5596 0.3945
0.16 0.5636 0.3939
0.17 0.5675 0.3932
0.18 0.5714 0.3925
0.19 0.5753 0.3918
0.20 0.5793 0.3910
0.21 0.5832 0.3902
0.22 0.5871 0.3894
0.23 0.5910 0.3885
0.24 0.5948 0.3876
0.25 0.5987 0.3867
0.26 0.6026 0.3857
0.27 0.6064 0.3847
0.28 0.6103 0.3836
0.29 0.6141 0.3825
0.30 0.6179 0.3814
0.31 0.6217 0.3802
0.32 0.6255 0.3790
0.33 0.6293 0.3778
0.34 0.6331 0.3765
0.35 0.6368 0.3752
0.36 0.6406 0.3739
0.37 0.6443 0.3725
0.38 0.6480 0.3712
0.39 0.6517 0.3697
0.40 0.6554 0.3683
0.41 0.6591 0.3668
0.42 0.6628 0.3653
0.43 0.6664 0.3637
0.44 0.6700 0.3621
0.45 0.6736 0.3605
0.46 0.6772 0.3589
0.47 0.6808 0.3572
0.48 0.6844 0.3555
0.49 0.6879 0.3538
0.50 0.6915 0.3521
0.51 0.6950 0.3503
0.52 0.6985 0.3485
0.53 0.7019 0.3467
0.54 0.7054 0.3448
0.55 0.7088 0.3429
0.56 0.7123 0.3410
0.57 0.7157 0.3391
0.58 0.7190 0.3372
0.59 0.7224 0.3352
0.60 0.7257 0.3332
0.61 0.7291 0.3312
0.62 0.7324 0.3292
0.63 0.7357 0.3271
0.64 0.7389 0.3251
0.65 0.7422 0.3230
0.66 0.7454 0.3209
0.67 0.7486 0.3187
0.68 0.7517 0.3166
0.69 0.7549 0.3144
0.70 0.7580 0.3123
0.71 0.7611 0.3101
0.72 0.7642 0.3079
0.73 0.7673 0.3056
0.74 0.7704 0.3034
0.75 0.7734 0.3011
0.76 0.7764 0.2989
0.77 0.7794 0.2966
0.78 0.7823 0.2943
0.79 0.7852 0.2920
0.80 0.7881 0.2897
0.81 0.7910 0.2874
0.82 0.7939 0.2850
0.83 0.7967 0.2827
0.84 0.7995 0.2803
0.85 0.8023 0.2780
0.86 0.8051 0.2756
0.87 0.8078 0.2732
0.88 0.8106 0.2709
0.89 0.8133 0.2685
0.90 0.8159 0.2661
0.91 0.8186 0.2637
0.92 0.8212 0.2613
0.93 0.8238 0.2589
0.94 0.8264 0.2565
0.95 0.8289 0.2541
0.96 0.8315 0.2516
0.97 0.8340 0.2492
0.98 0.8365 0.2468
0.99 0.8389 0.2444
1.00 0.8413 0.2420
1.01 0.8438 0.2396
1.02 0.8461 0.2371
1.03 0.8485 0.2347
1.04 0.8508 0.2323
1.05 0.8531 0.2299
1.06 0.8554 0.2275
1.07 0.8577 0.2251
1.08 0.8599 0.2227
1.09 0.8621 0.2203
1.10 0.8643 0.2179
1.11 0.8665 0.2155
1.12 0.8686 0.2131
1.13 0.8708 0.2107
1.14 0.8729 0.2083
1.15 0.8749 0.2059
1.16 0.8770 0.2036
1.17 0.8790 0.2012
1.18 0.8810 0.1989
1.19 0.8830 0.1965
1.20 0.8849 0.1942
1.21 0.8869 0.1919
1.22 0.8888 0.1895
1.23 0.8907 0.1872
1.24 0.8925 0.1849
1.25 0.8944 0.1826
1.26 0.8962 0.1804
1.27 0.8980 0.1781
1.28 0.8997 0.1758
1.29 0.9015 0.1736
1.30 0.9032 0.1714
1.31 0.9049 0.1691
1.32 0.9066 0.1669
1.33 0.9082 0.1647
1.34 0.9099 0.1626
1.35 0.9115 0.1604
1.36 0.9131 0.1582
1.37 0.9147 0.1561
1.38 0.9162 0.1539
1.39 0.9177 0.1518
1.40 0.9192 0.1497
1.41 0.9207 0.1476
1.42 0.9222 0.1456
1.43 0.9236 0.1435
1.44 0.9251 0.1415
1.45 0.9265 0.1394
1.46 0.9279 0.1374
1.47 0.9292 0.1354
1.48 0.9306 0.1334
1.49 0.9319 0.1315
1.50 0.9332 0.1295
1.51 0.9345 0.1276
1.52 0.9357 0.1257
1.53 0.9370 0.1238
1.54 0.9382 0.1219
1.55 0.9394 0.1200
1.56 0.9406 0.1182
1.57 0.9418 0.1163
1.58 0.9429 0.1145
1.59 0.9441 0.1127
1.60 0.9452 0.1109
1.61 0.9463 0.1092
1.62 0.9474 0.1074
1.63 0.9484 0.1057
1.64 0.9495 0.1040
1.65 0.9505 0.1023
1.66 0.9515 0.1006
1.67 0.9525 0.0989
1.68 0.9535 0.0973
1.69 0.9545 0.0957
1.70 0.9554 0.0940
1.71 0.9564 0.0925
1.72 0.9573 0.0909
1.73 0.9582 0.0893
1.74 0.9591 0.0878
1.75 0.9599 0.0863
1.76 0.9608 0.0848
1.77 0.9616 0.0833
1.78 0.9625 0.0818
1.79 0.9633 0.0804
1.80 0.9641 0.0790
1.81 0.9649 0.0775
1.82 0.9656 0.0761
1.83 0.9664 0.0748
1.84 0.9671 0.0734
1.85 0.9678 0.0721
1.86 0.9686 0.0707
1.87 0.9693 0.0694
1.88 0.9699 0.0681
1.89 0.9706 0.0669
1.90 0.9713 0.0656
1.91 0.9719 0.0644
1.92 0.9726 0.0632
1.93 0.9732 0.0620
1.94 0.9738 0.0608
1.95 0.9744 0.0596
1.96 0.9750 0.0584
1.97 0.9756 0.0573
1.98 0.9761 0.0562
1.99 0.9767 0.0551
2.00 0.9772 0.0540
2.01 0.9778 0.0529
2.02 0.9783 0.0519
2.03 0.9788 0.0508
2.04 0.9793 0.0498
2.05 0.9798 0.0488
2.06 0.9803 0.0478
2.07 0.9808 0.0468
2.08 0.9812 0.0459
2.09 0.9817 0.0449
2.10 0.9821 0.0440
2.11 0.9826 0.0431
2.12 0.9830 0.0422
2.13 0.9834 0.0413
2.14 0.9838 0.0404
2.15 0.9842 0.0396
2.16 0.9846 0.0387
2.17 0.9850 0.0379
2.18 0.9854 0.0371
2.19 0.9857 0.0363
2.20 0.9861 0.0355
2.21 0.9864 0.0347
2.22 0.9868 0.0339
2.23 0.9871 0.0332
2.24 0.9875 0.0325
2.25 0.9878 0.0317
2.26 0.9881 0.0310
2.27 0.9884 0.0303
2.28 0.9887 0.0297
2.29 0.9890 0.0290
2.30 0.9893 0.0283
2.31 0.9896 0.0277
2.32 0.9898 0.0270
2.33 0.9901 0.0264
2.34 0.9904 0.0258
2.35 0.9906 0.0252
2.36 0.9909 0.0246
2.37 0.9911 0.0241
2.38 0.9913 0.0235
2.39 0.9916 0.0229
2.40 0.9918 0.0224
2.41 0.9920 0.0219
2.42 0.9922 0.0213
2.43 0.9925 0.0208
2.44 0.9927 0.0203
2.45 0.9929 0.0198
2.46 0.9931 0.0194
2.47 0.9932 0.0189
2.48 0.9934 0.0184
2.49 0.9936 0.0180
2.50 0.9938 0.0175
2.51 0.9940 0.0171
2.52 0.9941 0.0167
2.53 0.9943 0.0163
2.54 0.9945 0.0158
2.55 0.9946 0.0154
2.56 0.9948 0.0151
2.57 0.9949 0.0147
2.58 0.9951 0.0143
2.59 0.9952 0.0139
2.60 0.9953 0.0136
2.61 0.9955 0.0132
2.62 0.9956 0.0129
2.63 0.9957 0.0126
2.64 0.9959 0.0122
2.65 0.9960 0.0119
2.66 0.9961 0.0116
2.67 0.9962 0.0113
2.68 0.9963 0.0110
2.69 0.9964 0.0107
2.70 0.9965 0.0104
2.71 0.9966 0.0101
2.72 0.9967 0.0099
2.73 0.9968 0.0096
2.74 0.9969 0.0093
2.75 0.9970 0.0091
2.76 0.9971 0.0088
2.77 0.9972 0.0086
2.78 0.9973 0.0084
2.79 0.9974 0.0081
2.80 0.9974 0.0079
2.81 0.9975 0.0077
2.82 0.9976 0.0075
2.83 0.9977 0.0073
2.84 0.9977 0.0071
2.85 0.9978 0.0069
2.86 0.9979 0.0067
2.87 0.9979 0.0065
2.88 0.9980 0.0063
2.89 0.9981 0.0061
2.90 0.9981 0.0060
2.91 0.9982 0.0058
2.92 0.9982 0.0056
2.93 0.9983 0.0055
2.94 0.9984 0.0053
2.95 0.9984 0.0051
2.96 0.9985 0.0050
2.97 0.9985 0.0048
2.98 0.9986 0.0047
2.99 0.9986 0.0046
3.00 0.9987 0.0044
3.01 0.9987 0.0043
3.02 0.9987 0.0042
3.03 0.9988 0.0040
3.04 0.9988 0.0039
3.05 0.9989 0.0038
3.06 0.9989 0.0037
3.07 0.9989 0.0036
3.08 0.9990 0.0035
3.09 0.9990 0.0034
3.10 0.9990 0.0033
3.11 0.9991 0.0032
3.12 0.9991 0.0031
3.13 0.9991 0.0030
3.14 0.9992 0.0029
3.15 0.9992 0.0028
3.16 0.9992 0.0027
3.17 0.9992 0.0026
3.18 0.9993 0.0025
3.19 0.9993 0.0025
3.20 0.9993 0.0024
3.21 0.9993 0.0023
3.22 0.9994 0.0022
3.23 0.9994 0.0022
3.24 0.9994 0.0021
3.25 0.9994 0.0020
3.26 0.9994 0.0020
3.27 0.9995 0.0019
3.28 0.9995 0.0018
3.29 0.9995 0.0018
3.30 0.9995 0.0017
3.31 0.9995 0.0017
3.32 0.9995 0.0016
3.33 0.9996 0.0016
3.34 0.9996 0.0015
3.35 0.9996 0.0015
3.36 0.9996 0.0014
3.37 0.9996 0.0014
3.38 0.9996 0.0013
3.39 0.9997 0.0013
3.40 0.9997 0.0012
3.41 0.9997 0.0012
3.42 0.9997 0.0012
3.43 0.9997 0.0011
3.44 0.9997 0.0011
3.45 0.9997 0.0010
3.46 0.9997 0.0010
3.47 0.9998 0.0010
3.48 0.9998 0.0009
3.49 0.9998 0.0009
3.50 0.9998 0.0009
3.51 0.9998 0.0008
3.52 0.9998 0.0008
3.53 0.9998 0.0008
3.54 0.9998 0.0008
3.55 0.9998 0.0007
3.56 0.9998 0.0007
3.57 0.9998 0.0007
3.58 0.9998 0.0007
3.59 0.9998 0.0006
3.60 0.9998 0.0006
3.61 0.9998 0.0006
3.62 0.9999 0.0006
3.63 0.9999 0.0005
3.64 0.9999 0.0005
3.65 0.9999 0.0005
3.66 0.9999 0.0005
3.67 0.9999 0.0005
3.68 0.9999 0.0005
3.69 0.9999 0.0004
3.70 0.9999 0.0004
3.71 0.9999 0.0004
3.72 0.9999 0.0004
3.73 0.9999 0.0004
3.74 0.9999 0.0004
3.75 0.9999 0.0004
3.76 0.9999 0.0003
3.77 0.9999 0.0003
3.78 0.9999 0.0003
3.79 0.9999 0.0003
3.80 0.9999 0.0003
3.81 0.9999 0.0003
3.82 0.9999 0.0003
3.83 0.9999 0.0003
3.84 0.9999 0.0003
3.85 0.9999 0.0002
3.86 0.9999 0.0002
3.87 0.9999 0.0002
3.88 0.9999 0.0002
3.89 0.9999 0.0002
3.90 1.0000 0.0002
3.91 1.0000 0.0002
3.92 1.0000 0.0002
3.93 1.0000 0.0002
3.94 1.0000 0.0002
3.95 1.0000 0.0002
3.96 1.0000 0.0002
3.97 1.0000 0.0002
3.98 1.0000 0.0001
3.99 1.0000 0.0001

 

Graf Dáileacháin Ghnáth Caighdeánach (os cionn nialas)

 

 

 

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