75 110
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 scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The area of the shaded region is
(Round to four decimal places as needed)
Transcribed Image Text:Standard Normal Table (Page 1)
D
NEGATIVE Z Scores
Z
<-3.50
and
lower
-3.4
-3.3
-3.2
-3.1
-3.0
-2.9
-2.8
-2.7
-2.6
-2.5
-2.4
-2.3
-2.2
-21
-2.0
<-19
-1.8
-17
-16
-15
-14
-13
<-12
-1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
-0.0
.00
0001
.0003
.0005
0007
0010
0013
0019
0026
0035
0047
0062
www
Standard Normal (z) Distribution: Cumulative Area from the LEFT
0002
0082
0107
0139
0179
0228
0287
0359
0446
0548
0668
0808
0968
1151
1357
1587
1841
2119
2420
2743
3085
3446
3821
4207
4602
5000
.01
0003
0003
0005 .0005
0007
0006
0009
0009
0013
0018
0024
.0033
0044
0059
0078
0102
0132
0170
0217
0274
0344
0427
0526
0643
0778
0934
1112
1314
1539
1788
0013
0018
0025
0034
0045
0060
0080
0104
0136
0174
0222
0281
0351
0436
0537
0655
0793
0951
1131
1335
1562
1814
2090
2389
2709
3050
3409
02
3783
4168
4562
4960
2061
2358
2676
3015
3372
3745
4129
4522
4920
.03
0003
.0004
.0006
.0009
0012
.0017
0023
0032
.0043
.0057
.0075
core
0099
.0129
0166
0212
0268
0336
0418
0516
0630
0764
0918
1093
1292
1515
1762
2033
2327
2643
2981
3336
3707
4090
4483
4880
.04
2005
2296
0003
0004
0006
0008
0012
0016
0016
0023
0031
0030
0041
.0040
0055
.0054
0073
.0071
0096
.0094
0125
0122
0162
.0158
0207 .0202
0262
.0256
0329
0409
0505
0618
0749
0901
1075
1271
1492
1736
2611
2946
3300
3669
4052
4443
4840
.05
NOTE: For values of z below-3.49, use 0.0001 for the area.
"Use these common values that result from interpolation:
z score Area
-1.645 0.0500
-2.575 0.0050
.0003
.0004
.0006
.0008
.0011
.0016
-.0022
.0322
0401
. .0495
.0606
0735
0885
1056
1251
1469
1711
1977
2266
2578
2912
3264
3632
4013
4404
4801
..06
0006
0008
0011
0015
0021
0029
0039
.0052
0069
0091
Vie
0119
0154
0197
0250
0314
0392
0485
0594
0721
0869
75
0003
.0003
0004 .0004
0005
0008
.0011
0015
0031
.0021
1038
1230
1446
1685
Z
1949
2236
2546
2877
3228
3594
3974
4364
4761
.07
.0244
.0307
0384
0475
0582
0708
0853
1020
1210
1423 0
1660
1922
2206
2514
2843
DES
3192
3557
0
3936
4325
4721
.0028
0028
.0038
0037
.0051 . 0049
.0068 A.0066
.0089
0116
0116
.0150
.0192
08
0003
0004
.0005
0007
0010
COL
0014
110
0000
.0020
6037
0027
0087
9113
146
0188
30239
0239
.0301
.0375
0465
.0571
0694
0838
1003
3190
1401
1635
1894
2177
2483
2810
3156
3520
3897
4266
4681
*****
.09
0002
0003
0005
0007
www
0010
2010
.0014
.COM
0019
0036
0026
0036
0048
0064
0084
0110
0143
0183
Vios
0233
0294
0367
0455
0559
0681
0823
0985
1170
1379
3611
1867
2148
2451
2776
3121
3483
3859
4247
4641
-
X
Transcribed Image Text:0
Z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
8889=293995992222222222=23EE
0.7
0.8
0.9
1.0
1.1
12
1.3
14
15
16
17
18
19
20
21
24
26
27
3.0
31
3.4
3.50
and up
.00
Standard Normal (z) Distribution: Cumulative Area from the LEFT
5000
5398
5793
6179
6554
6915
7257
7580
7881
8159
8413
8643
8849
9032
9192
0
9332
9452
9554
9641
9713
9772
9821
9861
9893
9918
9938
9953
9965
9974
9981
9987
9990
9993
9995
9997
9999
.01
5040
5438
5832
6217
6591
6950
7291
7611
7910
8186
8438
8665
8869
9049
9207
9345
9463
9564
9649
9719
9778
9826
9864
9896
9920
9940
9955
9966
9975
9982
9987
9991
9993
9995
9997
02
5080
5478
5871
6255
6628
6985
7324
7642
7939
8212
8461
8686
8888
.9066
9222
9357
9474
9573
9656
9726
9783
9830
9868
.9898
9922
9941
9956
9967
9976
9982
9987
9991
9994
9995
9997
POSITIVE z Scores
.03
5120
5517
5910
6293
6664
7019
7357
7673
7967
.8238
8485
8708
8907
.9082
9236
937
948
9582
.9664
9732
9788
9834
9871
.9901
.9925
9943
9957
.9968
.9977
.9983
9988
9991
9994
9996
9997
.04
5160
.5557
5948
6331
6700
.7054
7389
.7704
7995
.8264
8508
8729
8925
.9099
9251
9382
9495
9591
.9671
9738
9793
9838
.9875
.9904
.9927
9945
9959
.9969
.9977
.9984
9988
9992
.9994
9996
9997
NOTE: For values of z above 3.49, use 0.9999 for the area.
"Use these common values that result from interpolation:
z score Area
1.645 0.9500
2.575 0.9950
.05
5199
5596
5987
6368
6736
.7088
7422
.7734
8023
8289
8531
8749
8944
9115
9265
9394
9505
9599
.9678
9744
9798
.9842
9878
.9906
.9929
9946
9960
.9970
9978
.9984
9989
9992
9994
9996
9997
.06
5239
5636
.6026
.6406
.6772
.7123
.7454
7764
8051
.8315
.8554
.8770
8962 -.8980
.9131
9147
.9279
9292
.9406
9418
.9515
9525
.9608
.9616
.9686
9693
.9750
9756
.9803
.9808
.9846
.9850
.9881
.9909
.9931
.9948
.07
.9961
.9971
.9979
.9985
.9989
9992
.9994
9996
9997
5279
.5675
6064
.6443
.6808
7157
7486
7794
8078
8340
.8577
.8790
.08
9972
9979
9985
.9989
9992
.9995
9996
9997
5319
5714
6103
6480
6844
.7190
7517
.7823
8106
.8365
.8599
8810
.8997
9162
9306
9429
9535
.9625
.9699
.9761
9812
9854
.9887
9913
9934
.9951
.9884
.9911
9932
.9949 .
99629963
9973
9980
9986
9990
9993
9995
9996
9997
.09
5359
5753
6141
.6517
.6879
.7224
7549
7852
8133
8389
.8621
8830
..9015
.9177
.9319
9441
9545
9633
9706
.9767
.9817
9857
9890
9916
.9936
.9952
9964
.9974
9981
9986
.9990
9993
.9995
9997
9998
Common Critical Value
Confidence | Critical
Level
Value
0.90
1.645
0.95
1.96
0.99
2.575
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