Subido por Melisa Ramos Fernandez

Tablas Z

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DISTRIBUCIÓN NORMAL - Términos Acumulativos
"Probabilidad de menos de x éxitos con λ promedio"
2
P(Z ≤ z) =
0
∫
z
z
−∞
z
−
1
e 2 dz
2π
z
f(z)
z
f(z)
z
f(z)
z
f(z)
z
f(z)
z
f(z)
z
f(z)
z
f(z)
z
f(z)
-4
-3.99
-3.98
-3.97
-3.96
-3.95
-3.94
-3.93
-3.92
-3.91
-3.9
-3.89
-3.88
-3.87
-3.86
-3.85
-3.84
-3.83
-3.82
-3.81
-3.8
-3.79
-3.78
-3.77
-3.76
-3.75
-3.74
-3.73
-3.72
-3.71
-3.7
-3.69
-3.68
-3.67
-3.66
-3.65
-3.64
-3.63
-3.62
-3.61
-3.6
-3.59
-3.58
-3.57
-3.56
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
-3.55
-3.54
-3.53
-3.52
-3.51
-3.5
-3.49
-3.48
-3.47
-3.46
-3.45
-3.44
-3.43
-3.42
-3.41
-3.4
-3.39
-3.38
-3.37
-3.36
-3.35
-3.34
-3.33
-3.32
-3.31
-3.3
-3.29
-3.28
-3.27
-3.26
-3.25
-3.24
-3.23
-3.22
-3.21
-3.2
-3.19
-3.18
-3.17
-3.16
-3.15
-3.14
-3.13
-3.12
-3.11
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.000
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
-3.1
-3.09
-3.08
-3.07
-3.06
-3.05
-3.04
-3.03
-3.02
-3.01
-3
-2.99
-2.98
-2.97
-2.96
-2.95
-2.94
-2.93
-2.92
-2.91
-2.9
-2.89
-2.88
-2.87
-2.86
-2.85
-2.84
-2.83
-2.82
-2.81
-2.8
-2.79
-2.78
-2.77
-2.76
-2.75
-2.74
-2.73
-2.72
-2.71
-2.7
-2.69
-2.68
-2.67
-2.66
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.001
0.002
0.002
0.002
0.002
0.002
0.002
0.002
0.002
0.002
0.002
0.002
0.002
0.002
0.002
0.002
0.002
0.003
0.003
0.003
0.003
0.003
0.003
0.003
0.003
0.003
0.003
0.003
0.004
0.004
0.004
0.004
-2.65
-2.64
-2.63
-2.62
-2.61
-2.60
-2.59
-2.58
-2.57
-2.56
-2.55
-2.54
-2.53
-2.52
-2.51
-2.50
-2.49
-2.48
-2.47
-2.46
-2.45
-2.44
-2.43
-2.42
-2.41
-2.40
-2.39
-2.38
-2.37
-2.36
-2.35
-2.34
-2.33
-2.32
-2.31
-2.30
-2.29
-2.28
-2.27
-2.26
-2.25
-2.24
-2.23
-2.22
-2.21
0.004
0.004
0.004
0.004
0.005
0.005
0.005
0.005
0.005
0.005
0.005
0.006
0.006
0.006
0.006
0.006
0.006
0.007
0.007
0.007
0.007
0.007
0.008
0.008
0.008
0.008
0.008
0.009
0.009
0.009
0.009
0.010
0.010
0.010
0.010
0.011
0.011
0.011
0.012
0.012
0.012
0.013
0.013
0.013
0.014
-2.2
-2.19
-2.18
-2.17
-2.16
-2.15
-2.14
-2.13
-2.12
-2.11
-2.1
-2.09
-2.08
-2.07
-2.06
-2.05
-2.04
-2.03
-2.02
-2.01
-2
-1.99
-1.98
-1.97
-1.96
-1.95
-1.94
-1.93
-1.92
-1.91
-1.9
-1.89
-1.88
-1.87
-1.86
-1.85
-1.84
-1.83
-1.82
-1.81
-1.8
-1.79
-1.78
-1.77
-1.76
0.014
0.014
0.015
0.015
0.015
0.016
0.016
0.017
0.017
0.017
0.018
0.018
0.019
0.019
0.020
0.020
0.021
0.021
0.022
0.022
0.023
0.023
0.024
0.024
0.025
0.026
0.026
0.027
0.027
0.028
0.029
0.029
0.030
0.031
0.031
0.032
0.033
0.034
0.034
0.035
0.036
0.037
0.038
0.038
0.039
-1.75
-1.74
-1.73
-1.72
-1.71
-1.7
-1.69
-1.68
-1.67
-1.66
-1.65
-1.64
-1.63
-1.62
-1.61
-1.6
-1.59
-1.58
-1.57
-1.56
-1.55
-1.54
-1.53
-1.52
-1.51
-1.5
-1.49
-1.48
-1.47
-1.46
-1.45
-1.44
-1.43
-1.42
-1.41
-1.4
-1.39
-1.38
-1.37
-1.36
-1.35
-1.34
-1.33
-1.32
-1.31
0.040
0.041
0.042
0.043
0.044
0.045
0.046
0.046
0.047
0.048
0.049
0.051
0.052
0.053
0.054
0.055
0.056
0.057
0.058
0.059
0.061
0.062
0.063
0.064
0.066
0.067
0.068
0.069
0.071
0.072
0.074
0.075
0.076
0.078
0.079
0.081
0.082
0.084
0.085
0.087
0.089
0.090
0.092
0.093
0.095
-1.3
-1.29
-1.28
-1.27
-1.26
-1.25
-1.24
-1.23
-1.22
-1.21
-1.2
-1.19
-1.18
-1.17
-1.16
-1.15
-1.14
-1.13
-1.12
-1.11
-1.1
-1.09
-1.08
-1.07
-1.06
-1.05
-1.04
-1.03
-1.02
-1.01
-1
-0.99
-0.98
-0.97
-0.96
-0.95
-0.94
-0.93
-0.92
-0.91
-0.9
-0.89
-0.88
-0.87
-0.86
0.097
0.099
0.100
0.102
0.104
0.106
0.107
0.109
0.111
0.113
0.115
0.117
0.119
0.121
0.123
0.125
0.127
0.129
0.131
0.133
0.136
0.138
0.140
0.142
0.145
0.147
0.149
0.152
0.154
0.156
0.159
0.161
0.164
0.166
0.169
0.171
0.174
0.176
0.179
0.181
0.184
0.187
0.189
0.192
0.195
-0.85
-0.84
-0.83
-0.82
-0.81
-0.8
-0.79
-0.78
-0.77
-0.76
-0.75
-0.74
-0.73
-0.72
-0.71
-0.7
-0.69
-0.68
-0.67
-0.66
-0.65
-0.64
-0.63
-0.62
-0.61
-0.6
-0.59
-0.58
-0.57
-0.56
-0.55
-0.54
-0.53
-0.52
-0.51
-0.5
-0.49
-0.48
-0.47
-0.46
-0.45
-0.44
-0.43
-0.42
-0.41
0.198
0.200
0.203
0.206
0.209
0.212
0.215
0.218
0.221
0.224
0.227
0.230
0.233
0.236
0.239
0.242
0.245
0.248
0.251
0.255
0.258
0.261
0.264
0.268
0.271
0.274
0.278
0.281
0.284
0.288
0.291
0.295
0.298
0.302
0.305
0.309
0.312
0.316
0.319
0.323
0.326
0.330
0.334
0.337
0.341
-0.4
-0.39
-0.38
-0.37
-0.36
-0.35
-0.34
-0.33
-0.32
-0.31
-0.3
-0.29
-0.28
-0.27
-0.26
-0.25
-0.24
-0.23
-0.22
-0.21
-0.2
-0.19
-0.18
-0.17
-0.16
-0.15
-0.14
-0.13
-0.12
-0.11
-0.1
-0.09
-0.08
-0.07
-0.06
-0.05
-0.04
-0.03
-0.02
-0.01
0
0.345
0.348
0.352
0.356
0.359
0.363
0.367
0.371
0.374
0.378
0.382
0.386
0.390
0.394
0.397
0.401
0.405
0.409
0.413
0.417
0.421
0.425
0.429
0.433
0.436
0.440
0.444
0.448
0.452
0.456
0.460
0.464
0.468
0.472
0.476
0.480
0.484
0.488
0.492
0.496
0.500
DISTRIBUCIÓN NORMAL - Términos Acumulativos
"Probabilidad de menos de x éxitos con λ promedio"
2
P(Z ≤ z) =
0
∫
z
z
−∞
z
−
1
e 2 dz
2π
z
f(z)
z
f(z)
z
f(z)
z
f(z)
z
f(z)
z
f(z)
z
f(z)
z
f(z)
z
f(z)
4
3.99
3.98
3.97
3.96
3.95
3.94
3.93
3.92
3.91
3.9
3.89
3.88
3.87
3.86
3.85
3.84
3.83
3.82
3.81
3.8
3.79
3.78
3.77
3.76
3.75
3.74
3.73
3.72
3.71
3.7
3.69
3.68
3.67
3.66
3.65
3.64
3.63
3.62
3.61
3.6
3.59
3.58
3.57
3.56
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
3.55
3.54
3.53
3.52
3.51
3.5
3.49
3.48
3.47
3.46
3.45
3.44
3.43
3.42
3.41
3.4
3.39
3.38
3.37
3.36
3.35
3.34
3.33
3.32
3.31
3.3
3.29
3.28
3.27
3.26
3.25
3.24
3.23
3.22
3.21
3.2
3.19
3.18
3.17
3.16
3.15
3.14
3.13
3.12
3.11
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
1.000
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
3.1
3.09
3.08
3.07
3.06
3.05
3.04
3.03
3.02
3.01
3
2.99
2.98
2.97
2.96
2.95
2.94
2.93
2.92
2.91
2.9
2.89
2.88
2.87
2.86
2.85
2.84
2.83
2.82
2.81
2.8
2.79
2.78
2.77
2.76
2.75
2.74
2.73
2.72
2.71
2.7
2.69
2.68
2.67
2.66
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.999
0.998
0.998
0.998
0.998
0.998
0.998
0.998
0.998
0.998
0.998
0.998
0.998
0.998
0.998
0.998
0.998
0.997
0.997
0.997
0.997
0.997
0.997
0.997
0.997
0.997
0.997
0.997
0.996
0.996
0.996
0.996
2.65
2.64
2.63
2.62
2.61
2.60
2.59
2.58
2.57
2.56
2.55
2.54
2.53
2.52
2.51
2.50
2.49
2.48
2.47
2.46
2.45
2.44
2.43
2.42
2.41
2.40
2.39
2.38
2.37
2.36
2.35
2.34
2.33
2.32
2.31
2.30
2.29
2.28
2.27
2.26
2.25
2.24
2.23
2.22
2.21
0.996
0.996
0.996
0.996
0.995
0.995
0.995
0.995
0.995
0.995
0.995
0.994
0.994
0.994
0.994
0.994
0.994
0.993
0.993
0.993
0.993
0.993
0.992
0.992
0.992
0.992
0.992
0.991
0.991
0.991
0.991
0.990
0.990
0.990
0.990
0.989
0.989
0.989
0.988
0.988
0.988
0.987
0.987
0.987
0.986
2.2
2.19
2.18
2.17
2.16
2.15
2.14
2.13
2.12
2.11
2.1
2.09
2.08
2.07
2.06
2.05
2.04
2.03
2.02
2.01
2
1.99
1.98
1.97
1.96
1.95
1.94
1.93
1.92
1.91
1.9
1.89
1.88
1.87
1.86
1.85
1.84
1.83
1.82
1.81
1.8
1.79
1.78
1.77
1.76
0.986
0.986
0.985
0.985
0.985
0.984
0.984
0.983
0.983
0.983
0.982
0.982
0.981
0.981
0.980
0.980
0.979
0.979
0.978
0.978
0.977
0.977
0.976
0.976
0.975
0.974
0.974
0.973
0.973
0.972
0.971
0.971
0.970
0.969
0.969
0.968
0.967
0.966
0.966
0.965
0.964
0.963
0.962
0.962
0.961
1.75
1.74
1.73
1.72
1.71
1.7
1.69
1.68
1.67
1.66
1.65
1.64
1.63
1.62
1.61
1.6
1.59
1.58
1.57
1.56
1.55
1.54
1.53
1.52
1.51
1.5
1.49
1.48
1.47
1.46
1.45
1.44
1.43
1.42
1.41
1.4
1.39
1.38
1.37
1.36
1.35
1.34
1.33
1.32
1.31
0.960
0.959
0.958
0.957
0.956
0.955
0.954
0.954
0.953
0.952
0.951
0.949
0.948
0.947
0.946
0.945
0.944
0.943
0.942
0.941
0.939
0.938
0.937
0.936
0.934
0.933
0.932
0.931
0.929
0.928
0.926
0.925
0.924
0.922
0.921
0.919
0.918
0.916
0.915
0.913
0.911
0.910
0.908
0.907
0.905
1.3
1.29
1.28
1.27
1.26
1.25
1.24
1.23
1.22
1.21
1.2
1.19
1.18
1.17
1.16
1.15
1.14
1.13
1.12
1.11
1.1
1.09
1.08
1.07
1.06
1.05
1.04
1.03
1.02
1.01
1
0.99
0.98
0.97
0.96
0.95
0.94
0.93
0.92
0.91
0.9
0.89
0.88
0.87
0.86
0.903
0.901
0.900
0.898
0.896
0.894
0.893
0.891
0.889
0.887
0.885
0.883
0.881
0.879
0.877
0.875
0.873
0.871
0.869
0.867
0.864
0.862
0.860
0.858
0.855
0.853
0.851
0.848
0.846
0.844
0.841
0.839
0.836
0.834
0.831
0.829
0.826
0.824
0.821
0.819
0.816
0.813
0.811
0.808
0.805
0.85
0.84
0.83
0.82
0.81
0.8
0.79
0.78
0.77
0.76
0.75
0.74
0.73
0.72
0.71
0.7
0.69
0.68
0.67
0.66
0.65
0.64
0.63
0.62
0.61
0.6
0.59
0.58
0.57
0.56
0.55
0.54
0.53
0.52
0.51
0.5
0.49
0.48
0.47
0.46
0.45
0.44
0.43
0.42
0.41
0.802
0.800
0.797
0.794
0.791
0.788
0.785
0.782
0.779
0.776
0.773
0.770
0.767
0.764
0.761
0.758
0.755
0.752
0.749
0.745
0.742
0.739
0.736
0.732
0.729
0.726
0.722
0.719
0.716
0.712
0.709
0.705
0.702
0.698
0.695
0.691
0.688
0.684
0.681
0.677
0.674
0.670
0.666
0.663
0.659
0.4
0.39
0.38
0.37
0.36
0.35
0.34
0.33
0.32
0.31
0.3
0.29
0.28
0.27
0.26
0.25
0.24
0.23
0.22
0.21
0.2
0.19
0.18
0.17
0.16
0.15
0.14
0.13
0.12
0.11
0.1
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
0
0.655
0.652
0.648
0.644
0.641
0.637
0.633
0.629
0.626
0.622
0.618
0.614
0.610
0.606
0.603
0.599
0.595
0.591
0.587
0.583
0.579
0.575
0.571
0.567
0.564
0.560
0.556
0.552
0.548
0.544
0.540
0.536
0.532
0.528
0.524
0.520
0.516
0.512
0.508
0.504
0.500
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