Entries in the table give the area under the curve between the mean and z standard deviations above the mean. For example, for z = 1.25 the area under the curve between the mean (0) and z is 0.3944. 0.04 0.07 0.00 0.0 0.0000 0.1 0.0398 0.2 0.0793 0.3 0.1179 0.4 0.1554 0.5 0.1915 0.1950 0.6 0.2257 0.7 0.2580 0.01 0.02 0.03 0.05 0.06 0.08 0.09 0.0120 0.0478 0.0517 0.0557 0.0596 0.0910 0.0080 0.0160 0.0190 0.0279 0.0319 0.0675 0.0714 0.0753 0.0040 0.0239 0.0359 0.0438 0.0636 0.1026 0.1064 0.0832 0.0871 0.0948 0.1331 0.0987 0.1103 0.1141 0.1217 0.1255 0.1293 0.1368 0.1406 0.1443 0.1480 0.1517 0.1628 0.1985 0.1591 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2910 0.2939 0.2995 0.3051 0.3078 0.3340 0.3365 0.2881 0.2969 0.3023 0.3106 0.3133 0.9 1.0 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3389 0.3413 0.3438 0.3461 0.3485 0.3508 0.3513 0.3554 0.3577 0.3529 0.3621 1.1 1.2 0.3849 1.3 1.4 0.4192 1.5 0.4332 1.6 0.4452 1.7 0.4554 1.8 1.9 0.4713 2.0 0.4772 0.3686 0.3729 0.3708 0.3888 0.3907 0.3925 0.3944 0.3810 0.3997 0.3830 0.4015 0.4177 0.3643 0.3665 0.3749 0.3770 0.3790 0.3869 0.3962 0.3980 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 0.4545 0.4633 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.1 2.2 0.4861 2.3 0.4893 2.4 0.4918 2.5 0.4938 2.6 0.4953 2.7 0.4965 2.8 0.4974 2.9 0.4981 3.0 0.4987 3.1 3.2 0.4993 3.3 0.4995 3.4 0.4997 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.4890 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986 0.4989 0.4992 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4990 0.4990 0.4991 0.4994 0.4990 0.4991 0.4991 0.4992 0.4992 0.4992 0.4993 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4996 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998
Entries in the table give the area under the curve between the mean and z standard deviations above the mean. For example, for z = 1.25 the area under the curve between the mean (0) and z is 0.3944. 0.04 0.07 0.00 0.0 0.0000 0.1 0.0398 0.2 0.0793 0.3 0.1179 0.4 0.1554 0.5 0.1915 0.1950 0.6 0.2257 0.7 0.2580 0.01 0.02 0.03 0.05 0.06 0.08 0.09 0.0120 0.0478 0.0517 0.0557 0.0596 0.0910 0.0080 0.0160 0.0190 0.0279 0.0319 0.0675 0.0714 0.0753 0.0040 0.0239 0.0359 0.0438 0.0636 0.1026 0.1064 0.0832 0.0871 0.0948 0.1331 0.0987 0.1103 0.1141 0.1217 0.1255 0.1293 0.1368 0.1406 0.1443 0.1480 0.1517 0.1628 0.1985 0.1591 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2910 0.2939 0.2995 0.3051 0.3078 0.3340 0.3365 0.2881 0.2969 0.3023 0.3106 0.3133 0.9 1.0 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3389 0.3413 0.3438 0.3461 0.3485 0.3508 0.3513 0.3554 0.3577 0.3529 0.3621 1.1 1.2 0.3849 1.3 1.4 0.4192 1.5 0.4332 1.6 0.4452 1.7 0.4554 1.8 1.9 0.4713 2.0 0.4772 0.3686 0.3729 0.3708 0.3888 0.3907 0.3925 0.3944 0.3810 0.3997 0.3830 0.4015 0.4177 0.3643 0.3665 0.3749 0.3770 0.3790 0.3869 0.3962 0.3980 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 0.4545 0.4633 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.1 2.2 0.4861 2.3 0.4893 2.4 0.4918 2.5 0.4938 2.6 0.4953 2.7 0.4965 2.8 0.4974 2.9 0.4981 3.0 0.4987 3.1 3.2 0.4993 3.3 0.4995 3.4 0.4997 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.4890 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 0.4920 0.4922 0.4925 0.4927 0.4929 0.4931 0.4932 0.4934 0.4936 0.4940 0.4941 0.4943 0.4945 0.4946 0.4948 0.4949 0.4951 0.4952 0.4955 0.4956 0.4957 0.4959 0.4960 0.4961 0.4962 0.4963 0.4964 0.4966 0.4967 0.4968 0.4969 0.4970 0.4971 0.4972 0.4973 0.4974 0.4975 0.4976 0.4977 0.4977 0.4978 0.4979 0.4979 0.4980 0.4981 0.4982 0.4982 0.4983 0.4984 0.4984 0.4985 0.4985 0.4986 0.4986 0.4989 0.4992 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4990 0.4990 0.4991 0.4994 0.4990 0.4991 0.4991 0.4992 0.4992 0.4992 0.4993 0.4993 0.4993 0.4994 0.4994 0.4994 0.4994 0.4995 0.4995 0.4996 0.4995 0.4995 0.4995 0.4996 0.4996 0.4996 0.4996 0.4996 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4997 0.4998
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Solve the following by concept of normal distribution and graph clearly. Show your complete solution and write clearly and readable. Thank you.
In a job fair, 3000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years.
A.) how many applicants are below 20 years old? (Area or probability for the z table can be converted into percentage. Use this percentage to get exact answer.)
Transcribed Image Text:STANDARD NORMAL TABLE (Z)
Entries in the table give the area under the curve
between the mean and z standard deviations above
the mean. For example, for z = 1.25 the area under
the curve between the mean (0) and z is 0.3944.
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0 0.0000
0.0040
0.0080
0.0120
0.0160
0.0190
0.0239 0.0279
0.0319 0.0359
0.0398
0.2 0.0793
0.3 0.1179
0.4 0.1554
0.1
0.0478 0.0517 0.0557
0.0871
0.1255
0.0438
0.0596
0.0636 0.0675
0.0714 0.0753
0.1103
0.1480
0.0832
0.0910
0.0948
0.0987
0.1026
0.1064
0.1141
0.1217
0.1293
0.1331
0.1368
0.1406 0.1443
0.1517
0.1700
0.2054
0.1879
0.2224
0.1591
0.1628
0.1664
0.1736
0.1772
0.1808
0.1844
0.5
0.1915
0.1950 0.1985
0.2019
0.2088
0.2123
0.2157
0.2190
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
0.2764
0.2794
0.2823
0.2852
0.8
0.2881
0.2910
0.2939
0.2969
0.2995
0.3023
0.3051
0.3078
0.3106
0.3133
0.9
1.0
0.3212 0.3238 0.3264
0.3461
0.3686
0.3186
0.3289
0.3340
0.3365 0.3389
0.3529
0.3159
0.3315
0.3413
0.3438
0.3485
0.3508
0.3513
0.3554
0.3577
0.3621
1.1
1.2
1.3
0.3643
0.3665
0.3708
0.3729
0.3749
0.3770
0.3790
0.3810
0.3830
0.3849
0.3869
0.3907
0.4082 0.4099
0.3888
0.3925
0.3944
0.3962
0.3980
0.3997
0.4015
0.4032
0.4049
0.4066
0.4115
0.4131
0.4147
0.4162
0.4177
1.4
0.4192
0.4207
0.4222
0.4236
0.4251
0.4265
0.4279
0.4292
0.4306
0.4319
1.5
0.4332
0.4345
0.4357
0.4370
0.4382
0.4394
0.4406
0.4418
0.4429
0.4441
1.6
1.7
1.8
0.4452
0.4463
0.4474
0.4484
0.4495
0.4505
0.4515
0.4525
0.4535
0.4545
0.4554
0.4641
0.4564
0.4573
0.4582
0.4591
0.4599
0.4608
0.4616
0.4625
0.4633
0.4649
0.4656
0.4664
0.4671
0.4678
0.4686
0.4693
0.4699
0.4706
1.9
2.0 0.4772
2.1
2.2 0.4861
0.4719
0.4778
0.4713
0.4726
0.4732
0.4738
0.4744
0.4750
0.4756 0.4761
0.4767
0.4783
0.4788
0.4793 0.4798
0.4842
0.4803
0.4808
0.4812
0.4817
0.4838
0.4875
0.4821
0.4826
0.4830
0.4834
0.4846
0.4850
0.4854
0.4857
0.4864
0.4868
0.4871
0.4878
0.4881
0.4884
0.4887 0.4890
2.3
2.4
2.5
0.4893
0.4918
0.4896
0.4898
0.4901
0.4904
0.4906
0.4909
0.4911
0.4913
0.4916
0.4920
0.4922
0.4925
0.4927
0.4929
0.4931
0.4932 0.4934
0.4936
0.4938
0.4953
0.4965
0.4941
0.4956
0.4940
0.4945
0.4959
0.4943
0.4946
0.4948
0.4949
0.4951
0.4952
2.6
0.4955
0.4966
0.4975
0.4957
0.4960
0.4961
0.4962
0.4963
0.4964
2.7
0.4967
0.4968
0.4969
0.4970
0.4971
0.4972 0.4973
0.4974
2.8
2.9
3.0
3.1
3.2
3.3 0.4995
3.4 0.4997
0.4974
0.4976
0.4977
0.4977
0.4978
0.4979
0.4979
0.4980
0.4981
0.4981
0.4982
0.4982
0.4983
0.4984
0.4984
0.4985
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
0.4991
0.4991
0.4992
0.4994 0.4994
0.4990
0.4991
0.4992
0.4992
0.4992
0.4993
0.4993
0.4993
0.4995
0.4993
0.4994
0.4994
0.4994
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
0.4997
0.4997
0.4997
0.4997
0.4997
0.4998
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