Let z be a standard normal random variable with mean ? = 0 and standard deviation ? = 1. Use Table 3 in Appendix I to find the probability. (Round your answer to four decimal places.) P(−2.58 < z < 2.58) =
Let z be a standard normal random variable with mean ? = 0 and standard deviation ? = 1. Use Table 3 in Appendix I to find the probability. (Round your answer to four decimal places.) P(−2.58 < z < 2.58) =
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
100%
Let z be a standard normal random variable with mean ? = 0 and standard deviation ? = 1. Use Table 3 in Appendix I to find the probability. (Round your answer to four decimal places.)
P(−2.58 < z < 2.58) =
![Table 3 (continued)
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
క675
5714
5753
0.2
5793
5832
5871
5910
5948
5987
6026
.6064
6103
6480
6141
0.3
6179
6217
6255
6293
.6331
6368
6406
.6443
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
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
8643
8438
8461
8485
8508
8531
8554
.8577
8599
8621
1.1
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
9382
.9495
9406
9515
1.5
9332
9452
9345
9357
9370
9394
.9418
9429
9441
1.6
9463
9474
9484
9505
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
9798
.9842
2.0
9772
9778
9783
9788
9793
9803
9812
.9808
.9850
9817
2.1
9821
9826
9830
9834
.9838
9846
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
9992
9990
9990
3.1
9990
9991
9991
9991
.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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0043636e-317e-482a-b701-46e9ae6bab2e%2F3bed3ac5-55a7-4ac1-a879-206a6d7cd531%2Femdu5e_processed.png&w=3840&q=75)
Transcribed Image Text:Table 3 (continued)
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
క675
5714
5753
0.2
5793
5832
5871
5910
5948
5987
6026
.6064
6103
6480
6141
0.3
6179
6217
6255
6293
.6331
6368
6406
.6443
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
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
8643
8438
8461
8485
8508
8531
8554
.8577
8599
8621
1.1
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
9382
.9495
9406
9515
1.5
9332
9452
9345
9357
9370
9394
.9418
9429
9441
1.6
9463
9474
9484
9505
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
9798
.9842
2.0
9772
9778
9783
9788
9793
9803
9812
.9808
.9850
9817
2.1
9821
9826
9830
9834
.9838
9846
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
9992
9990
9990
3.1
9990
9991
9991
9991
.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
![Table 3 Areas under the Normal Curve
00
01
.02
03
.04
.05
.06
.07
.08
.09
-3.4
0003
.0003
.0003
0003
.0003
.0003
0003
.0003
.0003
.0002
-33
-3.2
.0005
.0005
.0005
0004
.0004
.0004
0004
.0004
.0004
.0003
.0006
.0008
0007
.0007
.0006
0006
.0006
0006
.0005
.0005
.0005
-3.1
-3.0
0010
.0009
.0009
0009
.0008
0008
.0008
.0007
.0007
0013
.0013
.0013
.0012
.0012
.0011
0011
.0011
.0010
0010
-2.9
-2.8
-2.7
.0019
.0018
.0017
0017
.0016
.0016
0015
.0015
.0014
0014
0026
.0025
.0024
.0023
.0023
.0022
0021
.0021
.0020
.0019
0035
.0034
.0033
0032
.0031
.0030
0029
.0028
.0027
0026
-2.6
0047
.0045
.0044
0043
.0041
.0040
0039
.0038
.0037
.0036
-25
0062
.0060
.0059
0057
.0055
.0054
0052
.0051
.0049
0048
-24
0082
.0080
.0078
.0075
.0073
.0071
0069
.0068
.0066
0064
.0094
0122
-2.3
0107
.0104
0102
0099
.0096
0091
.0089
.0087
.0084
0110
0143
-22
0139
.0136
0132
0129
.0125
0119
.0116
.0113
.0146
-2.1
0179
.0174
.0170
0166
.0162
.0158
0154
.0150
-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
0722
.0708
.0694
0681
-1.3
0968
0918
.0885
0869
.0853
.0838
.1003
.0951
.0934
.0901
0823
-1.2
.1151
.1131
.1112
.1093
.1075
.1056
.1038
.1020
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
-0.7
-0.6
2090
2061
2033
2327
2119
.2005
.1977
.1949
.1922
.1894
.1867
2420
2389
2358
2296
2266
2578
2236
2206
2177
2148
2743
2709
2676
2643
2611
2546
2514
2483
2451
-0.5
3085
3050
3015
2981
.2946
2912
2877
2843
2810
2776
--0.4
3446
3821
3409
3372
3336
.3300
3264
3228
3192
3156
3121
-0.3
3783
3745
3707
.3669
3632
3594
3557
3520
3483
--0.2
4207
4168
4129
4090
4052
4013
3974
3936
3897
3859
-0.1
-0.0
4602
4562
A522
4483
4443
4404
4364
4325
4286
4247
5000
.4960
4920
4880
4840
4801
4761
4721
4681
A641](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0043636e-317e-482a-b701-46e9ae6bab2e%2F3bed3ac5-55a7-4ac1-a879-206a6d7cd531%2Fsd6t4s_processed.png&w=3840&q=75)
Transcribed Image Text:Table 3 Areas under the Normal Curve
00
01
.02
03
.04
.05
.06
.07
.08
.09
-3.4
0003
.0003
.0003
0003
.0003
.0003
0003
.0003
.0003
.0002
-33
-3.2
.0005
.0005
.0005
0004
.0004
.0004
0004
.0004
.0004
.0003
.0006
.0008
0007
.0007
.0006
0006
.0006
0006
.0005
.0005
.0005
-3.1
-3.0
0010
.0009
.0009
0009
.0008
0008
.0008
.0007
.0007
0013
.0013
.0013
.0012
.0012
.0011
0011
.0011
.0010
0010
-2.9
-2.8
-2.7
.0019
.0018
.0017
0017
.0016
.0016
0015
.0015
.0014
0014
0026
.0025
.0024
.0023
.0023
.0022
0021
.0021
.0020
.0019
0035
.0034
.0033
0032
.0031
.0030
0029
.0028
.0027
0026
-2.6
0047
.0045
.0044
0043
.0041
.0040
0039
.0038
.0037
.0036
-25
0062
.0060
.0059
0057
.0055
.0054
0052
.0051
.0049
0048
-24
0082
.0080
.0078
.0075
.0073
.0071
0069
.0068
.0066
0064
.0094
0122
-2.3
0107
.0104
0102
0099
.0096
0091
.0089
.0087
.0084
0110
0143
-22
0139
.0136
0132
0129
.0125
0119
.0116
.0113
.0146
-2.1
0179
.0174
.0170
0166
.0162
.0158
0154
.0150
-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
0722
.0708
.0694
0681
-1.3
0968
0918
.0885
0869
.0853
.0838
.1003
.0951
.0934
.0901
0823
-1.2
.1151
.1131
.1112
.1093
.1075
.1056
.1038
.1020
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
-0.7
-0.6
2090
2061
2033
2327
2119
.2005
.1977
.1949
.1922
.1894
.1867
2420
2389
2358
2296
2266
2578
2236
2206
2177
2148
2743
2709
2676
2643
2611
2546
2514
2483
2451
-0.5
3085
3050
3015
2981
.2946
2912
2877
2843
2810
2776
--0.4
3446
3821
3409
3372
3336
.3300
3264
3228
3192
3156
3121
-0.3
3783
3745
3707
.3669
3632
3594
3557
3520
3483
--0.2
4207
4168
4129
4090
4052
4013
3974
3936
3897
3859
-0.1
-0.0
4602
4562
A522
4483
4443
4404
4364
4325
4286
4247
5000
.4960
4920
4880
4840
4801
4761
4721
4681
A641
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9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman