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.
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.
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 normally distributed with a mean of 100 and a standard deviation of 15.
Transcribed Image Text:Standard Normal Table (Page 1)
NEGATIVE z Scores
Standard Normal (z) Distribution: Cumulative Area from the LEFT
.00
.01
02
03
.04
L05
06
07
.08
.09
-3.50
and
lower
.0001
-3.4
.0003
0003
0005
0003
.0003
0003
0003
0003
.0003
3
o003
.0002
-3.3
.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
0017
0012
.01
oon
.01
0010
0010
-2.9
.0019
O018
0018
0016
O016
0015
.0015
.O015
.0014
.0014
-2.8
.0026
0025
0024
.0023
.0032
0023
.0022
.0021
.0021
.0020
.019
-2.7
.0035
0034
.0033
0031
.0030
.0029
.0028
0027
.0026
-2.6
.0047
0045
0060
0044
0043
0041
.0040
0039
.0038
-2.5
.0062
0037
.0036
0059
.0057
0055
.0054
0052
.0051
-2.4
0082
0080
0049
.0048
0078
0075
0073
0071
0069
0068
-2.3
.0107
0104
.0066
.0064
0102
0099
.0096
.0094
0091
.0089
-2.2
.0139
0136
0132
0087
.0084
.0129
.0125
.0122
0119
o116
-2.1
.0179
0174
0170
.0166
L0113
.0110
0162
.0158
0154
0150
0146
-2.0
.0228
0222
.0217
.0212
.0143
0207
.0202
0197
0192
.0188
0287
0359
-1.9
0281
0274
.0268
.0183
.0262
.0256
.0250
.0244
0239
-1.8
0351
.0344
.0336
.0233
.0329
0409
0505 • 0495
.0322
.0314
.0307
.0301
-1.7
0446
0436
0427
.0418
.0294
.0401
.0392
0548
0668
-1.6
0537
.0384
.0375
.0367
.0526
.0516
-1.5
0655
.0485
.0475
.0465
0455
0643
0630
0618
.0606
.0594
.0582
-1.4
0808
.0571
.0559
0793
0951
0778
.0764
0749
.0735
.0721
0869
.0708
.0853
-1.3
0968
.0934
.0918
0901
0694
.0681
.0885
-1.2
1151
131
0838
.0823
m2
1093
1075
1056
-11
1357
1038
1020
1003
.0985
1335
1314
1292
1271
1251
-10
1587
1230
1210
3190
1170
1562
1539
1515
1492
1469
1446
1423
1401
1379
Print
Done
Transcribed Image Text:POSITIVE z Scores
70
115
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
7580
7611
7642
7673
.7704
7734
.7764
8051
.7794
7823
.7852
0.8
7881
7910
7939
7967
7995
8023
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 A .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
27
9965
9966
9967
9968
9969
9970
9971
9972
9973
9974
Print
Done
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