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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
A batch of 3000 inverters from the production line have a mean output voltage of 337.8 V and the Standard deviation of the output voltage is 3.D V (where D is the last two digits of your student number inserted to the right of the decimal point). If the voltages of the produced inverters are assumed to be
- The number of inverters with output voltages greater than 336.9 V.
- The number of inverters with output voltages less than 337.1 V,
- The number of inverters with output voltages between 336.2 V and 339.8 V.
For this problem you should use the table of z-values shown in Figure below.
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01 2 3 4 s
6 7 8
0.0
0.1
0.0000 0.0040 0.0080 0.0120 0.0159 0.0199 0.0239 0.0279 0.0319 0.0359
0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0678 0.0714 0.0753
0.2
0.3
0.0793 0.0832 0.0871 0.0910
0.1179 0.1217 0.1255 0.1293 0.1331
0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808
0.1915 0.1950 0.1985 0.2019 0.2054 0.2086 0.2123 0.2157 0.2190 0.2224
0.0948 0.0987 0.1026 0.1064 0.1103 0.1141
0.1388 0.1406 0.1443 0.1480 0.1517
0.1844 0.1879
0.4
0.5
0.6
0.2257 0.2291
0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549
0.7
0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2760 0.2794 0.2823 0.2852
0.2881
0.3159
0.2910 0.2939 0.2967
0.3186 0.3212 0.3238 0.3264
0.3438
0.2995
0.3023 0.3051
0.3289 0.331I5 0.3340
0.3078
0.3106 0.3133
0.3365
0.8
0.9
0.3389
1.0
0.3485
0.3708 0.3729 0.3749 0.3770 0.3790 0.3810
0.3907 0.3925 0.3944
0.3531
0.3413
0.3643 0.3665
0.3849
0.3451
0.3686
0.3508
0.3554 0.3577 0.3599 0.3621
1.1
0.3830
1.2
0.3869
0.3888
0.3962
0.3980
0.3997
0.4015
1.3
14
15
0.4032 0.4049 0.4066 0.4082 0.4099 0.4115
0.4192
0.4332 0.4345 0,4357 0.4370 0,4382 0.4394
0.4131 0,4147 0,4162 04177
0.4292
0.4306
0.4207 0.4222 0.4236 04251
0.4265
0.4279
0.4319
0.4406 0.4418 0.4430 04441
1.6
1.7
0.4452
0.4554 0.4564 0.4573 0.4582 0.4591
0.4641 0.4649 0,4656 0,4664 0.4671
0.4713
0.4474 0.4484
0.4495 0.4505 0.4515
0.4599
4525 0.4535
0.4625
0.4699
0.4545
0.4608
0.4616
0.4633
0.4706
1.8
0.4678
0.4686
0.4693
1.9
0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4762 04767
0.4812 0.4817
0.4808
0.4850 0.4854
0.4884 0.4887
2.0
0.4772 0.4778 0.4783
0.4785 0.4793 0.4798
0.4803
2.1
2.2
0.4821
0.4861
0.4893
0.4826
0.4830 0,4834
0.4838
0.4842
0.4846
0.4857
0.4864
0.4868 0.4871
0.4875
0.4878
0.4881
0.4890
2.3
0.4896
0.4898 0.4901
0.4904
0.4906
0.4909
0.4911
0.4913
0.4916
2.4
2.5
0.4920
0.4922
0.4940 0.4941
0.4925
0.4943 0.4945 0.4946
0.4918
0.4927
0.4929
0.4932 0,4934
0.4948 0.4949 0.4951 0.4952
0.4931
0.4936
0.4938
0.4953
0.4955
0.4962
0.4970 0.4971 0.4972 0.4973
0.4979
2.6
0.4956 0.4957
0.4959
0.4960
0.4961
0.4963
0.4964
2.7
0.4965
0.4966
0.4967
0.4968
0.4969
0.4974
0.4975
0.4980
2.8
2.9
0.4974
0.4981
0.4978
0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986
0.4976
0.4977
0.4977
0.4980
0.4981
3.0
0.4987
0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990
3.1
0.4990
0.4991
0.4991
0.4991
0.4992 0.4992 0.4992 0.4992 0.4993
0.4993
3.2
3.3
0.4993
0.4993
0.4994
0.4995 0.4995 0.4996
0.4994
0,4994
0.4994
0.4994
0.4995
0.4996 0.4996 0.4997
0.4995
0.4995
0.4995
0.4996 0.4996 0.4996
3.4
0.4997
0.4997 0.4997 0.4997 0.4997 0.4997 0.4997
0.4997 0.4997
0.4998
3.5
3.6
3.7
0.4998
0.4998
0.4998 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
3.8
0.4999
0.4999 0.4999 0.4999 0,4999 0.4999
0.4999
0.4999
0.4999
0,4999
3.9
0.5000 0.5000 0.5000 0.5000 0.5000 0.5000
0.5000
0.5000
0.5000
0.5000
Figure 1: Table of z values for normally distributed curve."
Transcribed Image Text:I-
01 2 3 4 s
6 7 8
0.0
0.1
0.0000 0.0040 0.0080 0.0120 0.0159 0.0199 0.0239 0.0279 0.0319 0.0359
0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0678 0.0714 0.0753
0.2
0.3
0.0793 0.0832 0.0871 0.0910
0.1179 0.1217 0.1255 0.1293 0.1331
0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808
0.1915 0.1950 0.1985 0.2019 0.2054 0.2086 0.2123 0.2157 0.2190 0.2224
0.0948 0.0987 0.1026 0.1064 0.1103 0.1141
0.1388 0.1406 0.1443 0.1480 0.1517
0.1844 0.1879
0.4
0.5
0.6
0.2257 0.2291
0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549
0.7
0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2760 0.2794 0.2823 0.2852
0.2881
0.3159
0.2910 0.2939 0.2967
0.3186 0.3212 0.3238 0.3264
0.3438
0.2995
0.3023 0.3051
0.3289 0.331I5 0.3340
0.3078
0.3106 0.3133
0.3365
0.8
0.9
0.3389
1.0
0.3485
0.3708 0.3729 0.3749 0.3770 0.3790 0.3810
0.3907 0.3925 0.3944
0.3531
0.3413
0.3643 0.3665
0.3849
0.3451
0.3686
0.3508
0.3554 0.3577 0.3599 0.3621
1.1
0.3830
1.2
0.3869
0.3888
0.3962
0.3980
0.3997
0.4015
1.3
14
15
0.4032 0.4049 0.4066 0.4082 0.4099 0.4115
0.4192
0.4332 0.4345 0,4357 0.4370 0,4382 0.4394
0.4131 0,4147 0,4162 04177
0.4292
0.4306
0.4207 0.4222 0.4236 04251
0.4265
0.4279
0.4319
0.4406 0.4418 0.4430 04441
1.6
1.7
0.4452
0.4554 0.4564 0.4573 0.4582 0.4591
0.4641 0.4649 0,4656 0,4664 0.4671
0.4713
0.4474 0.4484
0.4495 0.4505 0.4515
0.4599
4525 0.4535
0.4625
0.4699
0.4545
0.4608
0.4616
0.4633
0.4706
1.8
0.4678
0.4686
0.4693
1.9
0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4762 04767
0.4812 0.4817
0.4808
0.4850 0.4854
0.4884 0.4887
2.0
0.4772 0.4778 0.4783
0.4785 0.4793 0.4798
0.4803
2.1
2.2
0.4821
0.4861
0.4893
0.4826
0.4830 0,4834
0.4838
0.4842
0.4846
0.4857
0.4864
0.4868 0.4871
0.4875
0.4878
0.4881
0.4890
2.3
0.4896
0.4898 0.4901
0.4904
0.4906
0.4909
0.4911
0.4913
0.4916
2.4
2.5
0.4920
0.4922
0.4940 0.4941
0.4925
0.4943 0.4945 0.4946
0.4918
0.4927
0.4929
0.4932 0,4934
0.4948 0.4949 0.4951 0.4952
0.4931
0.4936
0.4938
0.4953
0.4955
0.4962
0.4970 0.4971 0.4972 0.4973
0.4979
2.6
0.4956 0.4957
0.4959
0.4960
0.4961
0.4963
0.4964
2.7
0.4965
0.4966
0.4967
0.4968
0.4969
0.4974
0.4975
0.4980
2.8
2.9
0.4974
0.4981
0.4978
0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986
0.4976
0.4977
0.4977
0.4980
0.4981
3.0
0.4987
0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990
3.1
0.4990
0.4991
0.4991
0.4991
0.4992 0.4992 0.4992 0.4992 0.4993
0.4993
3.2
3.3
0.4993
0.4993
0.4994
0.4995 0.4995 0.4996
0.4994
0,4994
0.4994
0.4994
0.4995
0.4996 0.4996 0.4997
0.4995
0.4995
0.4995
0.4996 0.4996 0.4996
3.4
0.4997
0.4997 0.4997 0.4997 0.4997 0.4997 0.4997
0.4997 0.4997
0.4998
3.5
3.6
3.7
0.4998
0.4998
0.4998 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
3.8
0.4999
0.4999 0.4999 0.4999 0,4999 0.4999
0.4999
0.4999
0.4999
0,4999
3.9
0.5000 0.5000 0.5000 0.5000 0.5000 0.5000
0.5000
0.5000
0.5000
0.5000
Figure 1: Table of z values for normally distributed curve.
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