#6 Normal Distribution a) Shade Z> -1.4 b) Find entry for Z = 2.02
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:HALA
Attached Files: Z-Table.doc (7.599 MB)
#6 Normal Distribution
a) Shade Z> -1.4
b) Find entry for Z = 2.02
Transcribed Image Text:The entries in this table are the probabilities (or area) for a Standard Normal
Distribution between Z=0 to
Z=? in question. Areas for -ve Z are obtained from symmetry. Use the largest
entry for Z lager than 5.
Z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
0 z
3.0
3.1
0.00
0.01
0.02
0.0000
0.0040
0.0080
0.0398 0.0438
0.0478
0.0793 0.0832 0.0871
0.1179
0.1217
0.1255
0.1554
0.1591 0.1628
0.1915 0.1950
0.1985
0.2257
0.2291
0.2324
0.2580
0.2611
0.2642
0.2881 0.2910 0.2939
0.3159
0.3186
0.3212
0.3413
0.3438
0.3643 0.3665
0.3849 0.3869
0.4032 0.4049 0.4066
0.4192 0.4207
0.4222
0.4987 0.4987 0.4987
0.4990
0.4991
0.4991
3.2 0.4993 0.4993 0.4994
3.3 0.4995 0.4995 0.4995
3.4
0.4997 0.4997
0.3461
0.3485
0.3686
0.3708
0.3888 0.3907
0.4082
0.4236
3.5
0.4998
4.0 0.49997
4.5
0.499997
5.0
0.4999997
f(x) =
0.03
0.0120
0.0160
0.0517 0.0557
0.0910
0.0948
0.1293
0.1331
0.1664
0.1700
Second Decimal Place in z
0 05
0.04
0.2019
0.2357
0.2673
0.2967 0.2995
0.3238 0.3264
0.4988
0.4991
0.4994
0.4996
0.4997 0.4997
0.4332 0.4345
0.4357
0.4452
0.4474
0.4463
0.4554 0.4564 0.4573
0.4649
0.4641
0.4656
0.4713 0.4719 0.4726
0.4772 0.4778 0.4783 0.4788 0.4793
0.4821 0.4826 0.4830 0.4834 0.4838
0.4861 0.4864 0.4864 0.4871 0.4875
0.4893 0.4896 0.4898 0.4901
0.4918 0.4920 0.4922
0.4925
1
Τοπο
0.2054 0.2088
0.2389
0.2422
0.2704 0.2734
0.4938 0.4940
0.4945
0.4941 0.4943
0.4953 0.4955 0.4956 0.4957 0.4959
0.4965
0.4966 0.4967 0.4968 0.4969
0.4974 0.4975 0.4976 0.4977 0.4977
0.4981 0.4982 0.4982 0.4983 0.4984
-exp
0.4904
0.4927
0.0199
0.0596
0.0987
0.1368
0.1736
0.3508
0.3729
0.3925
0.4099
0.4115
0.425: 0.4265
0.4370
0.4382
0.4394
0.4484 0.4495
0.4505
0.4599
0.4582
0.4591
0.4664 0.4671 0.4678
0.4732 0.4738 0.4744
0.3023
0.3289
0.3531
0.3749
0.3944
lo
0.4988
0.4992
0.4994
0.4996 0.4996
0.4997 0.4997
X-L
0.06
0.07
0.0239
0.0279
0.0636
0.0675
0.1026
0.1064
0.1406
0.1443
0.1772 0.1808
0.3051
0.3315
0.2123 0.2157 0.2190
0.2486 0.2517
0.2454
0.2764 0.2794
0.2823
0.3078
0.3106
0.3340 0.3365
0.4798 0.4803
0.4842 0.4846
0.4878 0.4881
0.4906
0.4929
XER
0.3554 0.3577
0.3770
0.3790
0.3962 0.3980
0.4131
0.4147
0.4162
0.4279
0.4292 0.4306
0.08
0.0319
0.0714
0.1103
0.1480
0.1844
0.4406
0.4418 0.4429
0.4515
0.4525
0.4535
0.4608 0.4616
0.4625
0.4686
0.4693
0.4699
0.4750
0.4756
0.4761
0.4909 0.4911
0.4931
0.4932
0.4946 0.4948
0.4949
0.4960 0.4961
0.4962
0.4970 0.4971 0.4972
0.4978 0.4979
0.4979
0.4984 0.4985 0.4985
0.4808
0.4812
0.4850
0.4854
0.4884 0.4887
0.4913
0.4934
0.3599
0.3621
0.3810 0.3830
0.3997
0.4015
0.4177
0.4319
0.4951
0.4963
0.4973
0.4980
0.4986
0.4989 0.4989
0.4989
0.4990
0.4993
0.4992
0.4992
0.4992
0.4994 0.4994 0.4995 0.4995
0.4996 0.4996 0.4996
0.4997 0.4997 0.4997
0.09
0.0359
0.0753
0.1141
0.1517
0.1879
0.2224
0.2549
0.2852
0.3133
0.3389
0.4441
0.4545
0.4633
0.4706
0.4767
0.4817
0.4857
0.4890
0.4916
0.4936
0.4952
0.4964
0.4974
0.4981
0.4986
0.4990
0.4993
0.4995
0.4997
0.4998
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