Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... 115 A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the right half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 115. The area of the shaded region is ? (Round to four decimal places as needed.)
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... 115 A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the right half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 115. 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
Related questions
Question
|
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are
Click to view page 1 of the table.
Click to view page 2 of the table.
LOADING...
LOADING...
|
115
|
The area of the shaded region is ?
(Round to four decimal places as needed.)
(Round to four decimal places as needed.)
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
0.4
.6179
.6217
.6255
.6293
.6331
.6368
.6406
.6443
6480
.6517
.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
7580
7611
.7642
.7673
.7704
.7734
.7764
.7794
7823
.7852
0.8
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
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
.011
.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
.0116
.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
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