Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.   Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING...               z=0.63         A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region left of the line is shaded. The z-axis below the line is labeled "z=0.63". The area of the shaded region is ?. ​(Round to four decimal places as​ needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
 
Click to view page 1 of the table.
LOADING...
Click to view page 2 of the table.
LOADING...
 
 
 
 
 
 
 
z=0.63
 
  •  
  •  
  •  
A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom on the right side. The region left of the line is shaded. The z-axis below the line is labeled "z=0.63".
The area of the shaded region is ?.
​(Round to four decimal places as​ needed.)
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
-3.50
and
lower
.0001
-3.4
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0003
.0002
-3.3
.0005
.0005
.0005
.0004
.0004
.0004
.0004
.0004
.0004
.0003
-3.2
.0007
.0007
.0006
.0006
.0006
.0006
.0006
.0005
.0005
.0005
-3.1
.0010
.0009
.0009
.0009
.0008
.0008
.0008
.0008
.0007
.0007
-3.0
.0013
.0013
.0013
.0012
.0012
.001
.001
.001
.0010
.0010
-2.9
.0019
.0018
.0018
.0017
.0016
.0016
.0015
.0015
.0014
.0014
-2.8
.0026
.0025
.0024
.0023
.0023
.0022
.0021
.0021
.0020
.0019
-2.7
.0035
.0034
.0033
.0032
.0031
.0030
.0029
.0028
.0027
.0026
-2.6
.0047
.0045
.0044
.0043
.0041
.0040
.0039
.0038
.0037
.0036
-2.5
.0062
.0060
.0059
.0057
.0055
.0054
.0052
.0051
.0049
.0048
-2.4
.0082
.0080
.0078
.0075
.0073
.0071
.0069
.0068
.0066
.0064
-2.3
.0107
.0104
.0102
.0099
.0096
.0094
.0091
.0089
.0087
.0084
-2.2
.0139
0136
.0132
.0129
.0125
.0122
.0119
.016
.0113
.0110
-2.1
.0179
.0174
.0170
.0166
0162
.0158
.0154
.0150
0146
.0143
-2.0
.0228
.0222
.0217
.0212
.0207
.0202
.0197
.0192
.0188
.0183
-1.9
.0287
.0281
.0274
.0268
.0262
.0256
.0250
.0244
.0239
.0233
-1.8
.0359
.0351
.0344
.0336
.0329
.0322
.0314
.0307
.0301
.0294
-1.7
.0446
.0436
.0427
.0418
.0409
.0401
.0392
.0384
.0375
.0367
-1.6
.0548
.0537
.0526
.0516
.0505 * .0495
.0485
.0475
.0465
.0455
-1.5
.0668
.0655
.0643
.0630
.0618
.0606
.0594
.0582
.0571
.0559
-1.4
.0808
.0793
.0778
.0764
.0749
.0735
.0721
.0708
.0694
.0681
-1.3
.0968
.0951
.0934
.0918
.0901
.0885
.0869
.0853
.0838
.0823
-1.2
1151
1131
112
1093
.1075
.1056
1038
.1020
.1003
.0985
-1.1
.1357
.1335
.1314
.1292
.1271
.1251
1230
.1210
1190
1170
-1.0
.1587
1562
.1539
1515
1492
.1469
.1446
.1423
1401
.1379
-0.9
1841
.1814
1788
1762
1736
1711
1685
1660
1635
1611
-0.8
2119
2090
2061
2033
.2005
.1977
.1949
1922
1894
1867
-0.7
2420
2389
2358
2327
2296
2266
2236
.2206
2177
.2148
-0.6
.2743
2709
2676
2643
2611
.2578
2546
.2514
.2483
.2451
-0.5
.3085
3050
.3015
2981
.2946
.2912
2877
.2843
2810
.2776
-0.4
3446
3409
3372
3336
3300
3264
3228
3192
3156
.3121
-0.3
3821
3783
3745
3707
3669
3632
3594
3557
3520
3483
-0.2
,4207
4168
4129
4090
4052
4013
3974
3936
3897
.3859
-0.1
.4602
4562
4522
.4483
.4443
.4404
4364
.4325
4286
.4247
-0.0
.5000
.4960
.4920
.4880
4840
.4801
4761
.4721
4681
.4641
Transcribed Image Text:Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 -3.0 .0013 .0013 .0013 .0012 .0012 .001 .001 .001 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 0136 .0132 .0129 .0125 .0122 .0119 .016 .0113 .0110 -2.1 .0179 .0174 .0170 .0166 0162 .0158 .0154 .0150 0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 -1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 -1.6 .0548 .0537 .0526 .0516 .0505 * .0495 .0485 .0475 .0465 .0455 -1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 -1.3 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0838 .0823 -1.2 1151 1131 112 1093 .1075 .1056 1038 .1020 .1003 .0985 -1.1 .1357 .1335 .1314 .1292 .1271 .1251 1230 .1210 1190 1170 -1.0 .1587 1562 .1539 1515 1492 .1469 .1446 .1423 1401 .1379 -0.9 1841 .1814 1788 1762 1736 1711 1685 1660 1635 1611 -0.8 2119 2090 2061 2033 .2005 .1977 .1949 1922 1894 1867 -0.7 2420 2389 2358 2327 2296 2266 2236 .2206 2177 .2148 -0.6 .2743 2709 2676 2643 2611 .2578 2546 .2514 .2483 .2451 -0.5 .3085 3050 .3015 2981 .2946 .2912 2877 .2843 2810 .2776 -0.4 3446 3409 3372 3336 3300 3264 3228 3192 3156 .3121 -0.3 3821 3783 3745 3707 3669 3632 3594 3557 3520 3483 -0.2 ,4207 4168 4129 4090 4052 4013 3974 3936 3897 .3859 -0.1 .4602 4562 4522 .4483 .4443 .4404 4364 .4325 4286 .4247 -0.0 .5000 .4960 .4920 .4880 4840 .4801 4761 .4721 4681 .4641
POSITIVE z Scores
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
.02
.03
.04
.05
.06
.07
08
.09
0.0
.5000
.5040
.5080
.5120
.5160
.5199
.5239
.5279
.5319
.5359
0.1
.5398
,5438
5478
.5517
.5557
.5596
.5636
.5675
.5714
.5753
0.2
.5793
.5832
5871
5910
.5948
.5987
.6026
.6064
.6103
.6141
0.3
.6179
.6217
.6255
.6293
.6331
.6368
.6406
.6443
6480
.6517
0.4
.6554
.6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
.6879
0,5
.6915
.6950
,6985
7019
.7054
.7088
.7123
7157
.7190
.7224
0,6
.7257
.7291
.7324
.7357
.7389
7422
.7454
7486
7517
.7549
0.7
0.8
7580
.7611
7642
.7673
.7704
.7734
.7764
.7794
7823
.7852
.7881
.7910
7939
7967
7995
.8023
.8051
8078
.8106
.8133
0.9
.8159
8186
.8212
.8238
.8264
.8289
.8315
.8340
.8365
.8389
1.0
.8413
.8438
8461
8485
.8508
.8531
.8554
.8577
.8599
.8621
1.1
.8643
.8665
8686
8708
.8729
8749
.8770
.8790
8810
.8830
1.2
.8849
.8869
8888
.8907
.8925
.8944
.8962
.8980
.8997
.9015
1.3
9032
.9049
.9066
.9082
.9099
.9115
.9131
.9147
.9162
.9177
1.4
.9192
.9207
.9222
.9236
.9251
.9265
.9279
.9292
.9306
.9319
1.5
.9332
.9345
.9357
.9370
.9382
.9394
.9406
9418
.9429
.9441
1.6
.9452
9463
.9474
9484
.9495
.9505
,9515
.9525
,9535
.9545
1.7
.9554
.9564
.9573
.9582
.9591
.9599
.9608
.9616
.9625
.9633
1.8
.9641
.9649
9656
.9664
.9671
.9678
.9686
9693
.9699
.9706
1.9
.9713
,9719
.9726
.9732
.9738
.9744
.9750
.9756
.9761
.9767
2.0
.9772
.9778
.9783
.9788
.9793
.9798
.9803
.9808
.9812
.9817
2.1
.9821
.9826
.9830
.9834
.9838
.9842
.9846
.9850
.9854
.9857
2.2
.9861
.9864
.9868
.9871
.9875
.9878
.9881
.9884
.9887
.9890
2.3
.9893
.9896
.9898
.9901
.9904
.9906
.9909
.9911
.9913
.9916
2.4
.9918
.9920
.9922
.9925
.9927
.9929
.9931
.9932
.9934
.9936
2.5
.9938
.9940
.9941
9943
.9945
.9946
.9948
.9949
.9951
.9952
2.6
.9953
.9955
.9956
.9957
.9959
.9960
.9961
.9962
.9963
.9964
2.7
.9965
.9966
.9967
.9968
.9969
.9970
.9971
.9972
9973
.9974
2.8
.9974
.9975
.9976
.9977
.9977
.9978
.9979
.9979
.9980
.9981
2.9
.9981
.9982
.9982
.9983
.9984
.9984
.9985
9985
9986
.9986
3.0
.9987
.9987
.9987
9988
.9988
.9989
.9989
.9989
.9990
.9990
3.1
.9990
.9991
.9991
.9991
.9992
.9992
.9992
9992
.9993
.9993
3.2
.9993
.9993
.9994
.9994
.9994
.9994
.9994
.9995
.9995
.9995
3.3
.9995
,9995
,9995
,9996
.9996
.9996
,9996
,9996
9996
.9997
3.4
9997
,9997
9997
.9997
.9997
.9997
.9997
.9997
,9997
9998
3.50
,9999
and up
iNNN N N N N M M m M M M
Transcribed Image Text:POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 .02 .03 .04 .05 .06 .07 08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 0.1 .5398 ,5438 5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.2 .5793 .5832 5871 5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0,5 .6915 .6950 ,6985 7019 .7054 .7088 .7123 7157 .7190 .7224 0,6 .7257 .7291 .7324 .7357 .7389 7422 .7454 7486 7517 .7549 0.7 0.8 7580 .7611 7642 .7673 .7704 .7734 .7764 .7794 7823 .7852 .7881 .7910 7939 7967 7995 .8023 .8051 8078 .8106 .8133 0.9 .8159 8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 .8438 8461 8485 .8508 .8531 .8554 .8577 .8599 .8621 1.1 .8643 .8665 8686 8708 .8729 8749 .8770 .8790 8810 .8830 1.2 .8849 .8869 8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 1.3 9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 9418 .9429 .9441 1.6 .9452 9463 .9474 9484 .9495 .9505 ,9515 .9525 ,9535 .9545 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 1.8 .9641 .9649 9656 .9664 .9671 .9678 .9686 9693 .9699 .9706 1.9 .9713 ,9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 9973 .9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 9985 9986 .9986 3.0 .9987 .9987 .9987 9988 .9988 .9989 .9989 .9989 .9990 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 9992 .9993 .9993 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 3.3 .9995 ,9995 ,9995 ,9996 .9996 .9996 ,9996 ,9996 9996 .9997 3.4 9997 ,9997 9997 .9997 .9997 .9997 .9997 .9997 ,9997 9998 3.50 ,9999 and up iNNN N N N N M M m M M M
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