Evaluation: Find the area under the normal curve in each of the following cases: 1. Between z = 0 and z = -2.12 2. Between z = 1.25 and z = 2.3 3. Between z = -0.46 and z = -2.15 4. To the right of z = -1.35 5. To the left of z = -1.35

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
Areas Under the One-Tailed Standard Normal Curve
This table provides the area between
the mean and some Z score.
0=1
For example, when Z score=1.45
the area = 0.4265.
0.4265
Z
Z
0.00
0.01
0.02
0.06
0.09
0.05
0.0199 0.0239
0.0000 0.0040
0.0359
0.0080
0.0478 0.0517
0.0398 0.0438
0.03 0.04
0.0120 0.0160
0.0557
0.0948 0.0987 0.1026
0.1331
0.0596 0.0636
0.0753
0.0793 0.0832 0.0871
0.0910
0.1103 0.1141
0.1179 0.1217 0.1255
0.1293
0.1064
0.1368 0.1406 0.1443
0.1808
0.1480
0.1517
0.1554
0.1591 0.1628
0.1664
0.1700
0.1736 0.1772
0.1844 0.1879
0.1915
0.1950
0.1985
0.2019 0.2054
0.2088 0.2123
0.2157
0.2190
0.2224
0.2257
0.2291
0.2324
0.2357
0.2454 0.2486
0.2517
0.2549
0.2580 0.2611
0.2642
0.2673 0.2704
0.2764 0.2794
0.2823
0.2852
0.2734
0.3023 0.3051 0.3078 0.3106
0.2881 0.2910
0.2939
0.2967
0.2995
0.3133
0.3159 0.3186 0.3212
0.3238 0.3264
0.3289 0.3315 0.3340
0.3365
0.3389
0.3413 0.3438
0.3508
0.3554 0.3577 0.3599
0.3621
0.3643 0.3665 0.3686
0.3790 0.3810
0.3830
0.3708 0.3729
0.3907 0.3925
0.4082 0.4099
0.3531
0.3749 0.3770
0.3944 0.3962
0.4115 0.4131
0.3980 0.3997
0.4015
0.4147 0.4162
0.4177
0.3849 0.3869 0.3888
0.4032 0.4049 0.4066
0.4192 0.4207 0.4222
0.4332 0.4345 0.4357
0.4452 0.4463 0.4474 0.4484 0.4495
0.4236 0.4251
0.4292 0.4306
0.4319
0.4265 0.4279
0.4394 0.4406
0.4370 0.4382
0.4418 0.4429
0.4441
0.4505 0.4515
0.4525 0.4535 0.4545
0.4582 0.4591
0.4599 0.4608
0.4641 0.4649
0.4671
0.4678 0.4686
0.4554 0.4564 0.4573
0.4656 0.4664
0.4719 0.4726 0.4732
0.4772 0.4778 0.4783 0.4788
0.4616 0.4625 0.4633
0.4693 0.4699 0.4706
0.4744 0.4750 0.4756 0.4761
0.4713
0.4767
0.4817
0.4857
0.4830 0.4834
0.4868 0.4871
0.4881 0.4884 0.4887
0.4890
0.4916
0.4909 0.4911 0.4913
0.4931 0.4932 0.4934
0.4918 0.4920
0.4936
0.4948
0.4949 0.4951 0.4952
0.4738
0.4793 0.4798 0.4803 0.4808 0.4812
0.4821 0.4826
0.4838 0.4842 0.4846 0.4850 0.4854
0.4861 0.4864
0.4875 0.4878
0.4893 0.4896 0.4898 0.4901 0.4904 0.4906
0.4922 0.4925 0.4927 0.4929
0.4938 0.4940 0.4941 0.4943 0.4945 0.4946
0.4953 0.4955 0.4956 0.4957 0.4959 0.4960
0.4965 0.4966 0.4967 0.4968 0.4969
0.4974 0.4975 0.4976 0.4977 0.4977
0.4981
0.4981 0.4982 0.4982 0.4983 0.4984
0.4985 0.4986 0.4986
0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990
0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993
0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995
0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996
0.4997 0.4997 0.4997 0.4997
0.4998 0.4998 0.4998 0.4998
0.4961
0.4970 0.4971
0.4962 0.4963 0.4964
0.4974
0.4972 0.4973
0.4979 0.4980
0.4978 0.4979
0.4984 0.4985
0.4995
0.4997
0.4997 0.4997
0.4997 0.4997 0.4997
0.4998
0.4998 0.4998
0.4998 0.4998 0.4998
0.4998
0.4998 0.4998
0.4999
0.4999
0.4999 0.4999 0.4999
0.4999 0.4999 0.4999
0.4999 0.4999 0.4999
0.4999 0.4999 0.4999 0.4999 0.4999 0.4999
0.4999 0.4999 0.4999 0.4999 0.4999 0.4999
0.5000 0.5000 0.5000 0.5000 0.5000 0.5000
0.4999
0.4999 0.4999 0.4999 0.4999
0.5000 0.5000
0.5000 0.5000
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
3.0
3.1
3.2
3.4
3.5
3.6
3.7
3.8
3.9
0.3461 0.3485
0.2389 0.2422
H=0
1.45
0.07
0.08
0.0279 0.0319
0.0675 0.0714
Jalale
Transcribed Image Text:Areas Under the One-Tailed Standard Normal Curve This table provides the area between the mean and some Z score. 0=1 For example, when Z score=1.45 the area = 0.4265. 0.4265 Z Z 0.00 0.01 0.02 0.06 0.09 0.05 0.0199 0.0239 0.0000 0.0040 0.0359 0.0080 0.0478 0.0517 0.0398 0.0438 0.03 0.04 0.0120 0.0160 0.0557 0.0948 0.0987 0.1026 0.1331 0.0596 0.0636 0.0753 0.0793 0.0832 0.0871 0.0910 0.1103 0.1141 0.1179 0.1217 0.1255 0.1293 0.1064 0.1368 0.1406 0.1443 0.1808 0.1480 0.1517 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1844 0.1879 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.2257 0.2291 0.2324 0.2357 0.2454 0.2486 0.2517 0.2549 0.2580 0.2611 0.2642 0.2673 0.2704 0.2764 0.2794 0.2823 0.2852 0.2734 0.3023 0.3051 0.3078 0.3106 0.2881 0.2910 0.2939 0.2967 0.2995 0.3133 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 0.3413 0.3438 0.3508 0.3554 0.3577 0.3599 0.3621 0.3643 0.3665 0.3686 0.3790 0.3810 0.3830 0.3708 0.3729 0.3907 0.3925 0.4082 0.4099 0.3531 0.3749 0.3770 0.3944 0.3962 0.4115 0.4131 0.3980 0.3997 0.4015 0.4147 0.4162 0.4177 0.3849 0.3869 0.3888 0.4032 0.4049 0.4066 0.4192 0.4207 0.4222 0.4332 0.4345 0.4357 0.4452 0.4463 0.4474 0.4484 0.4495 0.4236 0.4251 0.4292 0.4306 0.4319 0.4265 0.4279 0.4394 0.4406 0.4370 0.4382 0.4418 0.4429 0.4441 0.4505 0.4515 0.4525 0.4535 0.4545 0.4582 0.4591 0.4599 0.4608 0.4641 0.4649 0.4671 0.4678 0.4686 0.4554 0.4564 0.4573 0.4656 0.4664 0.4719 0.4726 0.4732 0.4772 0.4778 0.4783 0.4788 0.4616 0.4625 0.4633 0.4693 0.4699 0.4706 0.4744 0.4750 0.4756 0.4761 0.4713 0.4767 0.4817 0.4857 0.4830 0.4834 0.4868 0.4871 0.4881 0.4884 0.4887 0.4890 0.4916 0.4909 0.4911 0.4913 0.4931 0.4932 0.4934 0.4918 0.4920 0.4936 0.4948 0.4949 0.4951 0.4952 0.4738 0.4793 0.4798 0.4803 0.4808 0.4812 0.4821 0.4826 0.4838 0.4842 0.4846 0.4850 0.4854 0.4861 0.4864 0.4875 0.4878 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4922 0.4925 0.4927 0.4929 0.4938 0.4940 0.4941 0.4943 0.4945 0.4946 0.4953 0.4955 0.4956 0.4957 0.4959 0.4960 0.4965 0.4966 0.4967 0.4968 0.4969 0.4974 0.4975 0.4976 0.4977 0.4977 0.4981 0.4981 0.4982 0.4982 0.4983 0.4984 0.4985 0.4986 0.4986 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990 0.4990 0.4991 0.4991 0.4991 0.4992 0.4992 0.4992 0.4992 0.4993 0.4993 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4961 0.4970 0.4971 0.4962 0.4963 0.4964 0.4974 0.4972 0.4973 0.4979 0.4980 0.4978 0.4979 0.4984 0.4985 0.4995 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4998 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.4999 0.5000 0.5000 0.5000 0.5000 0.5000 0.5000 0.4999 0.4999 0.4999 0.4999 0.4999 0.5000 0.5000 0.5000 0.5000 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 3.0 3.1 3.2 3.4 3.5 3.6 3.7 3.8 3.9 0.3461 0.3485 0.2389 0.2422 H=0 1.45 0.07 0.08 0.0279 0.0319 0.0675 0.0714 Jalale
Evaluation: Find the area under the normal curve in each of the following cases:
1. Between z = 0 and z = -2.12
2. Between z = 1.25 and z = 2.3
3. Between z = -0.46 and z = -2.15
4. To the right of z = -1.35
5. To the left of z = -1.35
Transcribed Image Text:Evaluation: Find the area under the normal curve in each of the following cases: 1. Between z = 0 and z = -2.12 2. Between z = 1.25 and z = 2.3 3. Between z = -0.46 and z = -2.15 4. To the right of z = -1.35 5. To the left of z = -1.35
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