Find the z-score for which the area to the left is .79 Explain how to solve this using this table.
Find the z-score for which the area to the left is .79 Explain how to solve this using this table.
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 z-score for which the area to the left is .79
Explain how to solve this using this table.
![Standard Normal Cumulative Probability Table
Cumulative probabilities for NEGATIVE z-values are shown in the following table:
0.04
0.07
0.05
0.06
0.0003 0.0003
0.0003
0.0003
0.0004 0.0004 0.0004 0.0004
0.0006 0.0006 0.0006 0.0005
0.0008
0.0012
Z
-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
-2.1
-2.0
-1.9
-1.8
-1.7
-1.6
-1.5
-1.4
-1.3
-1.2
-1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.0
0.00
0.01
0.02
0.03
0.0003 0.0003 0.0003 0.0003
0.0005 0.0005 0.0005 0.0004
0.0007 0.0007 0.0006 0.0006
0.0010 0.0009 0.0009 0.0009
0.0013 0.0013 0.0013 0.0012
0.0019 0.0018 0.0018 0.0017 0.0016 0.0016
0.0026 0.0025 0.0024 0.0023 0.0023 0.0022
0.0035 0.0034 0.0033 0.0032 0.0031 0.0030
0.0047 0.0045 0.0044 0.0043 0.0041 0.0040
0.0062 0.0060 0.0059 0.0057 0.0055 0.0054
0.0082 0.0080
0.0107 0.0104 0.0102
0.0139 0.0136
0.0132
0.0179 0.0174
0.0170
0.0228 0.0222
0.0217
0.0808
0.0968
0.1151 0.1131 0.1112
0.1357 0.1335 0.1314
0.1587 0.1562 0.1539
0.0129
0.0166
0.0212
0.0287
0.0281 0.0274 0.0268 0.0262 0.0256
0.0359 0.0351 0.0344 0.0336 0.0329 0.0322
0.0446 0.0436 0.0427 0.0418 0.0409 0.0401
0.0548 0.0537 0.0526 0.0516 0.0505 0.0495
0.0668 0.0655 0.0643 0.0630 0.0618
0.0606
0.0793 0.0778 0.0764 0.0749
0.0951 0.0934 0.0918 0.0901
0.1093 0.1075
0.1292 0.1271
0.1515
0.1492
0.08
0.09
0.0003
0.0002
0.0004
0.0003
0.0005
0.0005
0.0007
0.0008 0.0008 0.0008 0.0007
0.0011 0.0011 0.0011 0.0010 0.0010
0.0069 0.0068
0.0066
0.0078 0.0075 0.0073
0.0099 0.0096
0.0071
0.0094 0.0091 0.0089
0.0122 0.0119 0.0116 0.0113
0.0087
0.0125
0.0162 0.0158 0.0154 0.0150 0.0146
0.0207 0.0202 0.0197 0.0192 0.0188
0.3446
0.3409
0.3821 0.3783
0.4207 0.4168
0.4602
0.5000
0.1841 0.1814 0.1788 0.1762 0.1736 0.1711
0.2119 0.2090 0.2061 0.2033 0.2005 0.1977
0.2420 0.2389 0.2358 0.2327 0.2296 0.2266
0.2743 0.2709 0.2676 0.2643 0.2611 0.2578
0.3085 0.3050 0.3015 0.2981 0.2946 0.2912
Z
0.0015 0.0015 0.0014
0.0021 0.0021 0.0020
0.0029 0.0028 0.0027
0.0039 0.0038 0.0037
0.0052
0.0051 0.0049
0.3372
0.3745
0.3707
0.4129 0.4090
0.4562 0.4522 0.4483 0.4443 0.4404
0.4960 0.4920 0.4880 0.4840 0.4801
0.0239
0.0250 0.0244
0.0314 0.0307
0.0301
0.0392 0.0384 0.0375
0.0485 0.0475
0.0465
0.0594
0.0582 0.0571
0.0735
0.0885
0.1056
0.1251 0.1230 0.1210 0.1190
0.1469 0.1446
0.1423 0.1401
0.3192
0.3336 0.3300 0.3264 0.3228
0.3669 0.3632 0.3594 0.3557
0.4052 0.4013 0.3974 0.3936
0.4364 0.4325
0.1685
0.1949
0.2236 0.2206 0.2177
0.1660 0.1635
0.1922 0.1894
0.2546 0.2514
0.2483
0.2877 0.2843
0.2810
0.0014
0.0019
0.0026
0.0036
0.0048
0.0721 0.0708 0.0694 0.0681
0.0869 0.0853 0.0838
0.1038 0.1020 0.1003
0.0823
0.0985
0.1170
0.1379
0.0064
0.0084
0.0110
0.0143
0.0183
0.0233
0.0294
0.0367
0.0455
0.0559
0.1611
0.1867
0.2148
0.2451
0.2776
0.3156
0.3121
0.3520
0.3483
0.3897 0.3859
0.4286
0.4247
0.4641
0.4761 0.4721 0.4681](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba04d8ca-1c72-4fa7-841f-7e6bd69c0a9f%2F3cb07104-d849-4e88-be8f-ea9c53cb49ae%2Fhsl0cu8_processed.png&w=3840&q=75)
Transcribed Image Text:Standard Normal Cumulative Probability Table
Cumulative probabilities for NEGATIVE z-values are shown in the following table:
0.04
0.07
0.05
0.06
0.0003 0.0003
0.0003
0.0003
0.0004 0.0004 0.0004 0.0004
0.0006 0.0006 0.0006 0.0005
0.0008
0.0012
Z
-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
-2.1
-2.0
-1.9
-1.8
-1.7
-1.6
-1.5
-1.4
-1.3
-1.2
-1.1
-1.0
-0.9
-0.8
-0.7
-0.6
-0.5
-0.4
-0.3
-0.2
-0.1
0.0
0.00
0.01
0.02
0.03
0.0003 0.0003 0.0003 0.0003
0.0005 0.0005 0.0005 0.0004
0.0007 0.0007 0.0006 0.0006
0.0010 0.0009 0.0009 0.0009
0.0013 0.0013 0.0013 0.0012
0.0019 0.0018 0.0018 0.0017 0.0016 0.0016
0.0026 0.0025 0.0024 0.0023 0.0023 0.0022
0.0035 0.0034 0.0033 0.0032 0.0031 0.0030
0.0047 0.0045 0.0044 0.0043 0.0041 0.0040
0.0062 0.0060 0.0059 0.0057 0.0055 0.0054
0.0082 0.0080
0.0107 0.0104 0.0102
0.0139 0.0136
0.0132
0.0179 0.0174
0.0170
0.0228 0.0222
0.0217
0.0808
0.0968
0.1151 0.1131 0.1112
0.1357 0.1335 0.1314
0.1587 0.1562 0.1539
0.0129
0.0166
0.0212
0.0287
0.0281 0.0274 0.0268 0.0262 0.0256
0.0359 0.0351 0.0344 0.0336 0.0329 0.0322
0.0446 0.0436 0.0427 0.0418 0.0409 0.0401
0.0548 0.0537 0.0526 0.0516 0.0505 0.0495
0.0668 0.0655 0.0643 0.0630 0.0618
0.0606
0.0793 0.0778 0.0764 0.0749
0.0951 0.0934 0.0918 0.0901
0.1093 0.1075
0.1292 0.1271
0.1515
0.1492
0.08
0.09
0.0003
0.0002
0.0004
0.0003
0.0005
0.0005
0.0007
0.0008 0.0008 0.0008 0.0007
0.0011 0.0011 0.0011 0.0010 0.0010
0.0069 0.0068
0.0066
0.0078 0.0075 0.0073
0.0099 0.0096
0.0071
0.0094 0.0091 0.0089
0.0122 0.0119 0.0116 0.0113
0.0087
0.0125
0.0162 0.0158 0.0154 0.0150 0.0146
0.0207 0.0202 0.0197 0.0192 0.0188
0.3446
0.3409
0.3821 0.3783
0.4207 0.4168
0.4602
0.5000
0.1841 0.1814 0.1788 0.1762 0.1736 0.1711
0.2119 0.2090 0.2061 0.2033 0.2005 0.1977
0.2420 0.2389 0.2358 0.2327 0.2296 0.2266
0.2743 0.2709 0.2676 0.2643 0.2611 0.2578
0.3085 0.3050 0.3015 0.2981 0.2946 0.2912
Z
0.0015 0.0015 0.0014
0.0021 0.0021 0.0020
0.0029 0.0028 0.0027
0.0039 0.0038 0.0037
0.0052
0.0051 0.0049
0.3372
0.3745
0.3707
0.4129 0.4090
0.4562 0.4522 0.4483 0.4443 0.4404
0.4960 0.4920 0.4880 0.4840 0.4801
0.0239
0.0250 0.0244
0.0314 0.0307
0.0301
0.0392 0.0384 0.0375
0.0485 0.0475
0.0465
0.0594
0.0582 0.0571
0.0735
0.0885
0.1056
0.1251 0.1230 0.1210 0.1190
0.1469 0.1446
0.1423 0.1401
0.3192
0.3336 0.3300 0.3264 0.3228
0.3669 0.3632 0.3594 0.3557
0.4052 0.4013 0.3974 0.3936
0.4364 0.4325
0.1685
0.1949
0.2236 0.2206 0.2177
0.1660 0.1635
0.1922 0.1894
0.2546 0.2514
0.2483
0.2877 0.2843
0.2810
0.0014
0.0019
0.0026
0.0036
0.0048
0.0721 0.0708 0.0694 0.0681
0.0869 0.0853 0.0838
0.1038 0.1020 0.1003
0.0823
0.0985
0.1170
0.1379
0.0064
0.0084
0.0110
0.0143
0.0183
0.0233
0.0294
0.0367
0.0455
0.0559
0.1611
0.1867
0.2148
0.2451
0.2776
0.3156
0.3121
0.3520
0.3483
0.3897 0.3859
0.4286
0.4247
0.4641
0.4761 0.4721 0.4681
![Standard Normal Cumulative Probability Table
Cumulative probabilities for POSITIVE z-values are shown in the following table:
Z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
0.00
0.01
0.5000
0.5040
0.5398
0.5438
0.5793
0.5832
0.6179 0.6217
0.6554 0.6591
0.03
0.04
0.05
0.06
0.02
0.5080 0.5120 0.5160
0.5478 0.5517 0.5557
0.5199 0.5239
0.5596 0.5636
0.5871 0.5910 0.5948 0.5987 0.6026 0.6064
0.6255 0.6293 0.6331 0.6368 0.6406 0.6443
0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844
0.6915 0.6950 0.6985
0.7257 0.7291 0.7324
0.7580 0.7611 0.7642
0.7881 0.7910 0.7939
0.8159 0.8186 0.8212
0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554
0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770
0.8849 0.8869 0.8888 0.8907 0.8925 0.8944
0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131
0.9236 0.9251
0.9192 0.9207 0.9222
0.9265 0.9279
0.9332 0.9345 0.9357 0.9370
0.9452 0.9463 0.9474
0.9554 0.9564 0.9573
0.9641 0.9649 0.9656 0.9664
0.9713 0.9719 0.9726
0.9732
0.9938
0.9940
0.9953 0.9955
0.9965 0.9966
0.9974 0.9975
0.9981 0.9982
0.7486
0.7517
0.7019 0.7054 0.7088 0.7123 0.7157 0.7190
0.7357 0.7389 0.7422 0.7454
0.7673 0.7704 0.7734 0.7764 0.7794
0.7967 0.7995 0.8023 0.8051 0.8078
0.8238 0.8264 0.8289 0.8315
0.7823
0.8106
0.8340 0.8365
0.9382
0.9495
0.9484
0.9582 0.9591
0.9671
0.9738
0.9772
0.9778 0.9783 0.9788 0.9793
0.9821 0.9826 0.9830 0.9834 0.9838
0.9861 0.9864 0.9868 0.9871 0.9875 0.9878
0.9893 0.9896 0.9898 0.9901 0.9904 0.9906
0.9918 0.9920 0.9922 0.9925 0.9927 0.9929
0.9987 0.9987
0.9987
0.9990 0.9991
0.9991
0.9993 0.9993 0.9994
0.9995 0.9995 0.9995
0.9997 0.9997
0.9941
0.9943
0.9956
0.9957
0.9967 0.9968
0.9976
0.9977
0.9982
0.9983
0.07
0.08
0.09
0.5279 0.5319
0.5359
0.5675 0.5714 0.5753
0.6103 0.6141
0.6480 0.6517
0.6879
0.9394
0.9406
0.9418 0.9429
0.9505
0.9515
0.9525 0.9535
0.9599
0.9608 0.9616 0.9625
0.9678 0.9686 0.9693 0.9699
0.9744 0.9750 0.9756 0.9761
0.8577
0.8599
0.8810
0.8790
0.8962 0.8980 0.8997
0.9147 0.9162
0.9292 0.9306
0.9798 0.9803 0.9808
0.9842 0.9846 0.9850
0.9881 0.9884
0.9909 0.9911
0.9931
0.9932
0.9945
0.9959
0.9969
0.9977 0.9978 0.9979
0.9984 0.9984
0.9988 0.9988
0.9989
0.9991 0.9992 0.9992
0.9994 0.9994 0.9994
0.9996 0.9996 0.9996
0.9997 0.9997 0.9997 0.9997
0.9946
0.9948
0.9949 0.9951
0.9960 0.9961
0.9963
0.9962
0.9970 0.9971 0.9972 0.9973
0.9979 0.9980
0.9985 0.9985 0.9986
0.7224
0.7549
0.7852
0.8133
0.8389
0.8621
0.8830
0.9015
0.9177
0.9319
0.9441
0.9545
0.9633
0.9706
0.9767
0.9812 0.9817
0.9854 0.9857
0.9887
0.9890
0.9913
0.9916
0.9934 0.9936
0.9952
0.9964
0.9974
0.9981
0.9986
0.9989 0.9989 0.9990 0.9990
0.9992 0.9992 0.9993 0.9993
0.9994 0.9995
0.9996 0.9996
0.9995 0.9995
0.9997
0.9996
0.9997 0.9997 0.9997
0.9998](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba04d8ca-1c72-4fa7-841f-7e6bd69c0a9f%2F3cb07104-d849-4e88-be8f-ea9c53cb49ae%2Fdei96og_processed.png&w=3840&q=75)
Transcribed Image Text:Standard Normal Cumulative Probability Table
Cumulative probabilities for POSITIVE z-values are shown in the following table:
Z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
0.00
0.01
0.5000
0.5040
0.5398
0.5438
0.5793
0.5832
0.6179 0.6217
0.6554 0.6591
0.03
0.04
0.05
0.06
0.02
0.5080 0.5120 0.5160
0.5478 0.5517 0.5557
0.5199 0.5239
0.5596 0.5636
0.5871 0.5910 0.5948 0.5987 0.6026 0.6064
0.6255 0.6293 0.6331 0.6368 0.6406 0.6443
0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844
0.6915 0.6950 0.6985
0.7257 0.7291 0.7324
0.7580 0.7611 0.7642
0.7881 0.7910 0.7939
0.8159 0.8186 0.8212
0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554
0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770
0.8849 0.8869 0.8888 0.8907 0.8925 0.8944
0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131
0.9236 0.9251
0.9192 0.9207 0.9222
0.9265 0.9279
0.9332 0.9345 0.9357 0.9370
0.9452 0.9463 0.9474
0.9554 0.9564 0.9573
0.9641 0.9649 0.9656 0.9664
0.9713 0.9719 0.9726
0.9732
0.9938
0.9940
0.9953 0.9955
0.9965 0.9966
0.9974 0.9975
0.9981 0.9982
0.7486
0.7517
0.7019 0.7054 0.7088 0.7123 0.7157 0.7190
0.7357 0.7389 0.7422 0.7454
0.7673 0.7704 0.7734 0.7764 0.7794
0.7967 0.7995 0.8023 0.8051 0.8078
0.8238 0.8264 0.8289 0.8315
0.7823
0.8106
0.8340 0.8365
0.9382
0.9495
0.9484
0.9582 0.9591
0.9671
0.9738
0.9772
0.9778 0.9783 0.9788 0.9793
0.9821 0.9826 0.9830 0.9834 0.9838
0.9861 0.9864 0.9868 0.9871 0.9875 0.9878
0.9893 0.9896 0.9898 0.9901 0.9904 0.9906
0.9918 0.9920 0.9922 0.9925 0.9927 0.9929
0.9987 0.9987
0.9987
0.9990 0.9991
0.9991
0.9993 0.9993 0.9994
0.9995 0.9995 0.9995
0.9997 0.9997
0.9941
0.9943
0.9956
0.9957
0.9967 0.9968
0.9976
0.9977
0.9982
0.9983
0.07
0.08
0.09
0.5279 0.5319
0.5359
0.5675 0.5714 0.5753
0.6103 0.6141
0.6480 0.6517
0.6879
0.9394
0.9406
0.9418 0.9429
0.9505
0.9515
0.9525 0.9535
0.9599
0.9608 0.9616 0.9625
0.9678 0.9686 0.9693 0.9699
0.9744 0.9750 0.9756 0.9761
0.8577
0.8599
0.8810
0.8790
0.8962 0.8980 0.8997
0.9147 0.9162
0.9292 0.9306
0.9798 0.9803 0.9808
0.9842 0.9846 0.9850
0.9881 0.9884
0.9909 0.9911
0.9931
0.9932
0.9945
0.9959
0.9969
0.9977 0.9978 0.9979
0.9984 0.9984
0.9988 0.9988
0.9989
0.9991 0.9992 0.9992
0.9994 0.9994 0.9994
0.9996 0.9996 0.9996
0.9997 0.9997 0.9997 0.9997
0.9946
0.9948
0.9949 0.9951
0.9960 0.9961
0.9963
0.9962
0.9970 0.9971 0.9972 0.9973
0.9979 0.9980
0.9985 0.9985 0.9986
0.7224
0.7549
0.7852
0.8133
0.8389
0.8621
0.8830
0.9015
0.9177
0.9319
0.9441
0.9545
0.9633
0.9706
0.9767
0.9812 0.9817
0.9854 0.9857
0.9887
0.9890
0.9913
0.9916
0.9934 0.9936
0.9952
0.9964
0.9974
0.9981
0.9986
0.9989 0.9989 0.9990 0.9990
0.9992 0.9992 0.9993 0.9993
0.9994 0.9995
0.9996 0.9996
0.9995 0.9995
0.9997
0.9996
0.9997 0.9997 0.9997
0.9998
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