Find the percent of the total area under the standard normal curve between the following​ z-scores. z=−2.89 and z= 2.03   The percent of the total area between z=−2.89 and z=2.03 is _______​%. ​(Round to the nearest hundredth as​ needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Question
Find the percent of the total area under the standard normal curve between the following​ z-scores. z=−2.89 and z= 2.03
 
The percent of the total area between z=−2.89 and z=2.03 is _______​%.
​(Round to the nearest hundredth as​ needed.)
Area Under a Normal Curve (contimed)
0.00
0.01
0.12
0.43
0.04
0.05
0.06
0.87
0.09
0.0
0.1
02
03
05000
05398
05793
06179
0.6554
0.5040
0.5438
0.5832
0.6217
0.6591
0.5080
05478
0.5871
0.6255
0.6628
0.5120
0.5517
0.5910
0.6293
ర.686
0.5160
0.5557
0.5948
0.6331
0.6700
0.5199
0.5596
0.5987
0.6368
0.6736
0.5239
05636
0.6026
0.6406
0.6772
0.5279
0.5675
0.6064
0.6443
0.6808
0.5319
0.5714
0.6103
0.6480
0.6844
0.5359
0.5753
0.6141
0.6517
0.6879
0.4
05
0.6
0.7
0.6915
0.7257
0.7580
0.6950
0.7291
0.7611
0.6985
0.7324
0.7019
0.7357
0.7673
0.7054
0.7389
0.7704
0.7995
0.8264
0.7088
0.7422
0.7734
0.8023
0.8289
0.7123
0.7454
0.7764
0.8051
0.8315
0.7157
0.7486
0.7190
0.7517
0.7823
0.8106
0.8365
0.7224
0.7549
0.7852
0.8133
0.8389
0.7642
18
0.8186
0.8
0.7910
0.7939
0.8212
0.7967
0.8238
0.8078
0.8340
0.9
0.8159
1.0
0.8413
0.8554
0.8770
0.8962
0.8599
0.8810
0.8997
0.9162
0.9306
0.8438
0.8461
0.8686
0.8888
0.8508
0.8729
0.8925
0.8531
0.8749
0.8944
0.8577
0.8790
0.8980
09147
0.9292
0.8621
0.8830
0.9015
0.9177
0.9319
0.8485
1.1
0.8643
0.8665
0.8708
0.8907
12
0.8869
0.9049
0.9207
0.8849
0.9032
0.9192
0.9082
0.9236
0.9099
0.9251
0.9115
0.9265
1.3
0.9066
0.9131
14
0.9222
0.9278
0.9429
0.9535
0.9625
0.9699
0.9441
0.9545
0.9418
0.9525
0.9616
0.9693
0.9756
0.9406
0.9394
0.9505
0.9599
0.9678
0.9744
0.9357
0.9382
0.9370
0.9484
0.9582
1.5
0.9332
0.9345
0.9495
0.9515
0.9474
0.9573
1.6
0.9452
0.9463
80960
0.9686
0.9750
0.9633
0.9706
0.9767
0.9564
0.9591
0.9554
0.9641
1.7
0.9664
0.9732
0.9671
0.9738
1.8
0.9649
0.9656
1.9
0.9713
0.9719
0.9726
0.9761
0.9812
0.9854
0.9887
0.9913
0.9934
0.9817
0.9857
0.9793
0.9838
09875
0.9904
0.9927
0.9803
0.9846
0.9881
0.9808
0.9850
0.9884
0.9911
60660
0.9798
0.9788
0.9834
2.0
0.9772
0.9778
0.9783
2.1
0.9821
0.9826
0.9830
0.9842
0.9878
0.9906
0.9929
0ర36°0
0.9916
22
0.9861
0.9864
0.9868
0.9871
0.9901
2.3
2.4
0.9898
0.9922
0.9893
0.9918
0.9920
0.9925
0.9931
0.9932
0.9936
0.9945
0.9959
0.9969
0.9946
.00క0
0.9970
0.9978
0.9984
0.9949
0.9962
0.9972
0.9951
0.9963
0.9973
0.9980
0.9986
0.9952
0.9964
0.9974
2.5
0.9938
0.9940
0.9941
0.9943
0.9957
0.9968
0.9977
0.9983
0.9961
0.9971
0.9979
0.9956
0.9967
0.9955
2.6
2.7
0.9953
0.9965
0.9966
0.9981
0.9979
0.9985
0.9977
0,9976
0.9982
2.8
0.9974
0.9975
0.9984
0.9985
0.9986
29
0.9981
0.9982
0.9990
0.9990
0.9993
0.9995
3.0
0.9987
0.9987
0,9987
0.9988
0.9988
0.9989
0.9989
0.9989
09992
0.9993
0.9992
0.9994
0.9992
0.9992
0.9994
0.9996
0.9991
0.9991
066600
0.9993
3.1
0.9991
0.9995
0.9994
0.9995
3.2
0.9993
0.9994
0.9994
0.9997
0.9996
0.9997
రగం 0
0.9998
0.9996
అరం60
0.9997
33
0.9005
0.9995
0.9995
0.0996
0.9997
0.9997
0.9997
0.9997
0.9997
09997
0.9997
34
Transcribed Image Text:Area Under a Normal Curve (contimed) 0.00 0.01 0.12 0.43 0.04 0.05 0.06 0.87 0.09 0.0 0.1 02 03 05000 05398 05793 06179 0.6554 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 05478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.6293 ర.686 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 05636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0.6141 0.6517 0.6879 0.4 05 0.6 0.7 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.6985 0.7324 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.8133 0.8389 0.7642 18 0.8186 0.8 0.7910 0.7939 0.8212 0.7967 0.8238 0.8078 0.8340 0.9 0.8159 1.0 0.8413 0.8554 0.8770 0.8962 0.8599 0.8810 0.8997 0.9162 0.9306 0.8438 0.8461 0.8686 0.8888 0.8508 0.8729 0.8925 0.8531 0.8749 0.8944 0.8577 0.8790 0.8980 09147 0.9292 0.8621 0.8830 0.9015 0.9177 0.9319 0.8485 1.1 0.8643 0.8665 0.8708 0.8907 12 0.8869 0.9049 0.9207 0.8849 0.9032 0.9192 0.9082 0.9236 0.9099 0.9251 0.9115 0.9265 1.3 0.9066 0.9131 14 0.9222 0.9278 0.9429 0.9535 0.9625 0.9699 0.9441 0.9545 0.9418 0.9525 0.9616 0.9693 0.9756 0.9406 0.9394 0.9505 0.9599 0.9678 0.9744 0.9357 0.9382 0.9370 0.9484 0.9582 1.5 0.9332 0.9345 0.9495 0.9515 0.9474 0.9573 1.6 0.9452 0.9463 80960 0.9686 0.9750 0.9633 0.9706 0.9767 0.9564 0.9591 0.9554 0.9641 1.7 0.9664 0.9732 0.9671 0.9738 1.8 0.9649 0.9656 1.9 0.9713 0.9719 0.9726 0.9761 0.9812 0.9854 0.9887 0.9913 0.9934 0.9817 0.9857 0.9793 0.9838 09875 0.9904 0.9927 0.9803 0.9846 0.9881 0.9808 0.9850 0.9884 0.9911 60660 0.9798 0.9788 0.9834 2.0 0.9772 0.9778 0.9783 2.1 0.9821 0.9826 0.9830 0.9842 0.9878 0.9906 0.9929 0ర36°0 0.9916 22 0.9861 0.9864 0.9868 0.9871 0.9901 2.3 2.4 0.9898 0.9922 0.9893 0.9918 0.9920 0.9925 0.9931 0.9932 0.9936 0.9945 0.9959 0.9969 0.9946 .00క0 0.9970 0.9978 0.9984 0.9949 0.9962 0.9972 0.9951 0.9963 0.9973 0.9980 0.9986 0.9952 0.9964 0.9974 2.5 0.9938 0.9940 0.9941 0.9943 0.9957 0.9968 0.9977 0.9983 0.9961 0.9971 0.9979 0.9956 0.9967 0.9955 2.6 2.7 0.9953 0.9965 0.9966 0.9981 0.9979 0.9985 0.9977 0,9976 0.9982 2.8 0.9974 0.9975 0.9984 0.9985 0.9986 29 0.9981 0.9982 0.9990 0.9990 0.9993 0.9995 3.0 0.9987 0.9987 0,9987 0.9988 0.9988 0.9989 0.9989 0.9989 09992 0.9993 0.9992 0.9994 0.9992 0.9992 0.9994 0.9996 0.9991 0.9991 066600 0.9993 3.1 0.9991 0.9995 0.9994 0.9995 3.2 0.9993 0.9994 0.9994 0.9997 0.9996 0.9997 రగం 0 0.9998 0.9996 అరం60 0.9997 33 0.9005 0.9995 0.9995 0.0996 0.9997 0.9997 0.9997 0.9997 0.9997 09997 0.9997 34
Area Under a Normal Curve to the Left of z, where z =
0.00
0.01
0.02
0.03
0.05
0.06
0.08
0.09
-3.4
-33
-3.2
-3.1
-3.0
0.0003
0.0005
0.0007
0.0010
0.0013
0,0003
0.0003
0.0005
0.000
0.0009
0.0003
0.0004
0.0006
0.0009
0.0012
0.0003
0.0004
0.0006
0.0008
0.0012
0.0003
0.0007
0.0009
0.0013
0.0006
0.0008
0.0011
0.0003
0.0004
0.0006
0.0008
0.0011
0.0003
0.0004
0.0005
0.0008
0.0011
0.0004
0.0005
0.0007
0.0010
0.0002
0.0003
0.0005
0.0007
0.0010
0.0013
-2.9
-28
0.0019
0.0026
0.0035
0.0047
81000
0.0017
0.0017
0.0023
0.0032
0.0016
0.0023
0.0016
0.0022
0.0030
0.0040
0.0054
0.0015
0.0021
0.0028
0.0038
0.0051
0.0015
0.0021
0.0014
0.0020
0.0027
0.0037
0.0049
0.0014
0.ண1ம
0.0026
0.0036
0.0048
0.0025
-27
-2.6
-25
0.0034
0.0033
0.0029
0.0039
0.0052
0.0031
0.0045
0.0044
0.0059
0.0043
0.0041
0.0055
0.0062
0.0060
0.0057
-2.4
-2.3
0.0080
0.0104
00136
0.0066
0.0087
00113
00146
00188
0.0064
0.0084
0.0110
0.0143
0.0183
0.0068
0.0089
0.0082
0.0075
0.0099
0.0071
0.0094
0.0122
0.0158
0.0202
0.0073
0.0096
0.0069
0.0091
0.01 19
0.0154
0.0197
0.0078
0.0107
0.0102
८८-
0.0179
0.0139
00125
0.०129
0.0166
0.0212
0.0132
0.0170
0.0217
0.0150
00192
-2.1
0,0174
0.0162
-2.0
0.0228
0.0222
0.0207
0.0250
0.0314
0.0392
0.0485
மா9
0.0239
00301
0.0375
0.0465
0.0571
0.0233
0.0294
0.0367
0.0455
0.0559
0.0244
0.०255
0.0322
0.0401
0.0495
0.0606
0.0262
0.0274
0.0344
0.0427
0.0526
0.0643
0.0268
0.0336
0.0418
0.0516
0.0281
0.0287
0.0359
0.0446
0.0548
-1.9
-1.8
0.0352
0.0329
0.0384
0.0475
0.0582
0.0409
0.0436
0.0537
-1.7
-1.6
1.5
0.0505
0,0618
-1.5
0.0668
0.0655
0.0630
0.0722
0,0869
0.1038
0.1230
0,1446
0.0708
0.0853
0.1020
0,1210
0.1423
0,0694
00838
0.1003
0.1190
0.1401
0.0681
0.0823
0.0985
0.1170
0.1379
0.0735
0.0764
0.0918
0.1093
0.1292
0.1515
00749
0.0901
0.1075
0.1271
0.1492
0.0793
0.0778
0.0808
0.0968
0.1151
-14
1.4
0.0885
0.1056
0.1251
0.0951
0,0934
1.3
-1.2
-1.3
0.1112
0.1357
0.1587
0.1131
0.1335
0.1562
0.1314
0.1539
-1.0
0.1635
0.1894
02177
0.2483
0.2810
0.1611
0 1867
0.2148
0.2451
02776
0,1660
0,1922
0,1685
0,1949
0.2236
0.2546
0.2877
0.1711
0.1814
0.2090
0.2389
0.2709
0.3050
0.1788
0.2061
0,2358
0.2676
0.3015
0 1762
0.2033
0.2327
0.2643
0.2981
01736
0.2005
0.2296
0.2611
0.2946
9
01841
-0.9
-0.8
7
-0.6
-0.5
0.1977
0.2119
0.2420
0.2514
0.2843
-07
0.2743
0.3085
0.2578
0.2912
03156
035201
0.3897
04286
0.3192
0.3557
0.3264
0.3409
0.3783
04168
04562
0.490
0.3372
0.3745
0.4129
04522
0 4920
0.3336
0.3707
0.490
0.4483
0.4880
03300
0.3669
04052
03483
03859
04247
0.4641
-0.4
-0.3
-0,2
0.3446
0.3821
0.3594
0 3974
04364
04761
0.3632
03632
0.4013
04404
0.4501
0.4325
-0.1
04840
-0.0
0.5000
Transcribed Image Text:Area Under a Normal Curve to the Left of z, where z = 0.00 0.01 0.02 0.03 0.05 0.06 0.08 0.09 -3.4 -33 -3.2 -3.1 -3.0 0.0003 0.0005 0.0007 0.0010 0.0013 0,0003 0.0003 0.0005 0.000 0.0009 0.0003 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 0.0008 0.0012 0.0003 0.0007 0.0009 0.0013 0.0006 0.0008 0.0011 0.0003 0.0004 0.0006 0.0008 0.0011 0.0003 0.0004 0.0005 0.0008 0.0011 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 0.0005 0.0007 0.0010 0.0013 -2.9 -28 0.0019 0.0026 0.0035 0.0047 81000 0.0017 0.0017 0.0023 0.0032 0.0016 0.0023 0.0016 0.0022 0.0030 0.0040 0.0054 0.0015 0.0021 0.0028 0.0038 0.0051 0.0015 0.0021 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.ண1ம 0.0026 0.0036 0.0048 0.0025 -27 -2.6 -25 0.0034 0.0033 0.0029 0.0039 0.0052 0.0031 0.0045 0.0044 0.0059 0.0043 0.0041 0.0055 0.0062 0.0060 0.0057 -2.4 -2.3 0.0080 0.0104 00136 0.0066 0.0087 00113 00146 00188 0.0064 0.0084 0.0110 0.0143 0.0183 0.0068 0.0089 0.0082 0.0075 0.0099 0.0071 0.0094 0.0122 0.0158 0.0202 0.0073 0.0096 0.0069 0.0091 0.01 19 0.0154 0.0197 0.0078 0.0107 0.0102 ८८- 0.0179 0.0139 00125 0.०129 0.0166 0.0212 0.0132 0.0170 0.0217 0.0150 00192 -2.1 0,0174 0.0162 -2.0 0.0228 0.0222 0.0207 0.0250 0.0314 0.0392 0.0485 மா9 0.0239 00301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 0.0455 0.0559 0.0244 0.०255 0.0322 0.0401 0.0495 0.0606 0.0262 0.0274 0.0344 0.0427 0.0526 0.0643 0.0268 0.0336 0.0418 0.0516 0.0281 0.0287 0.0359 0.0446 0.0548 -1.9 -1.8 0.0352 0.0329 0.0384 0.0475 0.0582 0.0409 0.0436 0.0537 -1.7 -1.6 1.5 0.0505 0,0618 -1.5 0.0668 0.0655 0.0630 0.0722 0,0869 0.1038 0.1230 0,1446 0.0708 0.0853 0.1020 0,1210 0.1423 0,0694 00838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 0.1170 0.1379 0.0735 0.0764 0.0918 0.1093 0.1292 0.1515 00749 0.0901 0.1075 0.1271 0.1492 0.0793 0.0778 0.0808 0.0968 0.1151 -14 1.4 0.0885 0.1056 0.1251 0.0951 0,0934 1.3 -1.2 -1.3 0.1112 0.1357 0.1587 0.1131 0.1335 0.1562 0.1314 0.1539 -1.0 0.1635 0.1894 02177 0.2483 0.2810 0.1611 0 1867 0.2148 0.2451 02776 0,1660 0,1922 0,1685 0,1949 0.2236 0.2546 0.2877 0.1711 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0.2061 0,2358 0.2676 0.3015 0 1762 0.2033 0.2327 0.2643 0.2981 01736 0.2005 0.2296 0.2611 0.2946 9 01841 -0.9 -0.8 7 -0.6 -0.5 0.1977 0.2119 0.2420 0.2514 0.2843 -07 0.2743 0.3085 0.2578 0.2912 03156 035201 0.3897 04286 0.3192 0.3557 0.3264 0.3409 0.3783 04168 04562 0.490 0.3372 0.3745 0.4129 04522 0 4920 0.3336 0.3707 0.490 0.4483 0.4880 03300 0.3669 04052 03483 03859 04247 0.4641 -0.4 -0.3 -0,2 0.3446 0.3821 0.3594 0 3974 04364 04761 0.3632 03632 0.4013 04404 0.4501 0.4325 -0.1 04840 -0.0 0.5000
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