Determine the area under the standard normal curve that lies between (a) Z= -2.05 and Z=2.05, (b) Z= -2.83 and Z= 0, and (c) Z=-1.27 and Z=1.31. Click the icon to view a table of areas under the normal curve. (a) The area that lies between Z= -2.05 and Z=2.05 is (Round to four decimal places as needed.) C
Determine the area under the standard normal curve that lies between (a) Z= -2.05 and Z=2.05, (b) Z= -2.83 and Z= 0, and (c) Z=-1.27 and Z=1.31. Click the icon to view a table of areas under the normal curve. (a) The area that lies between Z= -2.05 and Z=2.05 is (Round to four decimal places as needed.) C
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
![Determine the area under the standard normal curve that lies between (a) Z= -2.05 and Z=2.05, (b) Z= -2.83 and Z = 0, and (c) Z= - 1.27 and Z=1.31.
Click the icon to view a table of areas under the normal curve.
(a) The area that lies between Z= -2.05 and Z= 2.05 is
(Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac3be618-b645-4bd8-855b-808ff3fc18d4%2F48e9bfa4-a814-49ba-8832-f429cc07cca9%2F3bo70tk_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the area under the standard normal curve that lies between (a) Z= -2.05 and Z=2.05, (b) Z= -2.83 and Z = 0, and (c) Z= - 1.27 and Z=1.31.
Click the icon to view a table of areas under the normal curve.
(a) The area that lies between Z= -2.05 and Z= 2.05 is
(Round to four decimal places as needed.)
![TABLE V
.00
.01
.07
0.0003 0.0003 0.0003
0.0003 0.0002
0.0004 0.0004
0.0004 0.0005
0.0006 0.0005 0.0005 0.0005
0.0008 0.0008 0.0007 0.0007
0.0011 0.0011 0.0010 0.0010
0.0015 0.0015 0.0014 0.0014
0,0021 0.0021 0.0020 0.0019
0.0029 0.0028 0.0027 0.0026
0.0039 0.0038 0.0037 0.0036
0.0052 0.0051 0.0049 0.0048
-3.4 0.0003 0.0003 0.0003 0.0003 0.0003
-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004
-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006
-3.1 0.0010 0.0009 0.0009 0.0009
0.0008 0.0008
-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011
-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016
-2.8 0.0026 0,0025 0.0024 0,0023 0.0023 0.0022
-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030
-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040
-2.3 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054
-2.4 0.0082 0.0080 0.0078 0.0075 0.0073
-2.3 0.0107 0.0104 0.0002 0.0099
0.0096
-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116
-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150
-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192
0.0262 0.0256
0.0329 0.0322
0,0409 0.0401
0.0505 0.0495
0.0630 0.0618 0.0606
-1.9 0.0287 0.0781 0.0274 0.0268
-1.8 0.0359 0.0351 0.0344 0.0336
-1.7 0.0446 0,0436 0.0427 0.0418
-1.6 0.0548 0.0537 0.0526 0.0516
-1.5 0.0668 0.0655 0.0643
Standard Normal Distribution
.02 .03 .04
.05 .06
.08
.09
3.0
3.1
0.0071 0.0069 0.0068 0.0066 0.0064
0.0094 0.0091 0.0089 0.0087 0.0084
0.0110
0.0113
0.0146
0.0146 0.0143
0.0188
0.0188 0.0183
-1.4 0.0808 0.0793 0.0778
-1.3 0.0968 0.0951 0.0934
-1.2 0.1151 0.1131 0.1112
-1.1 0.1357 0.1335 0.1314
0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823
0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170
-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379
-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611
-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867
-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 02148
-0.6 0.2743 0,2709 0.2676 0.2643 0.2611 0.2578 0,2546 0.2514 0.2483 0.2451
-0.5 0.3085 0.3050 0.3015 02981 0.2946 0.2912 0.2877 0.2843 0.2810
0.2810 0.2776
-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121
-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483
-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859
-0.1 0.4602 0.4562 0.4522 0,4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247
-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641
0.0
0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319
0.5319 0.5359
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714
0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026
0.5753
0.2
0.3
0.6179 0.6217 0.6255 0,6293
0.4
0.6554 0.6591 0.6628 0.6664
0.6064 0.6103 0.6141
0.6331 0.6368 0.6406
0.6443 0.6480 0.6517
0.6700 0.6736 0.6772
0.6808 0.6844
0.6844 0.6879
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224
0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 07517 0.7549
0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852
0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133
0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389
z
0.0250 0.0244
0.0239 0.0233
0.0314 0.0307 0.0301 0.0294
0.0392 0.0384 0.0375 0.0367
0.0485 0.0475 0.0465 0.0455
0.0594 0.0582 0.0571 0.0559
1.0
1.1
0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621
0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.88.30
1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0,8962 0.8980 0.8997
0.8997 0.9015
1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 09162 09177
1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
0.9370
1.5 0.9332 0.9345 0.9357
0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441
1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545
1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633
0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706
0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767
0.9788 0.9793 0.9798 0.9803 0.9808 09812 09817
0.9834 09838 0.9842 09846 0.9850 0.9854 0.9857
0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890
0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916
0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936
0.9893 0.9896 0.9898
1.8
1.9
2.0 0.9772 0.9778 0.9783
21 0.9821 0.9826 0.9830
2.2
2.3
24
2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952
2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964
27 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974
0.9974 0.9975
0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979
0.9979 0.9980
0.9980 0.9981
29 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986
0.9986 0.9986
0.9918 0.9920 0.9922
2.8
0.9990 0.9991 0.9991 0.9991
0.9993 0.9993 0.9994 0.9994
3.3 0.9995 0.9995 0.9995 0.9996
3.4 0.9997 0.9997
0.9997
0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990
0.9992 0.9993 0.9993
0.9995 0.9995 0.9995
0.9996 0.9996 0.9997
0.9997 0.9997 0.9998
0.9992 0.9992 0.9992
0.9994 0.9994 0.9994
0.9996 0.9996 0.9996
0.9997 0.9997 0.9997
0.9997
0.9997
.00 .01
.02
.03
.04
.05 .06
.07 .08 .09](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac3be618-b645-4bd8-855b-808ff3fc18d4%2F48e9bfa4-a814-49ba-8832-f429cc07cca9%2Ffcdaog8_processed.png&w=3840&q=75)
Transcribed Image Text:TABLE V
.00
.01
.07
0.0003 0.0003 0.0003
0.0003 0.0002
0.0004 0.0004
0.0004 0.0005
0.0006 0.0005 0.0005 0.0005
0.0008 0.0008 0.0007 0.0007
0.0011 0.0011 0.0010 0.0010
0.0015 0.0015 0.0014 0.0014
0,0021 0.0021 0.0020 0.0019
0.0029 0.0028 0.0027 0.0026
0.0039 0.0038 0.0037 0.0036
0.0052 0.0051 0.0049 0.0048
-3.4 0.0003 0.0003 0.0003 0.0003 0.0003
-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004
-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006
-3.1 0.0010 0.0009 0.0009 0.0009
0.0008 0.0008
-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011
-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016
-2.8 0.0026 0,0025 0.0024 0,0023 0.0023 0.0022
-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030
-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040
-2.3 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054
-2.4 0.0082 0.0080 0.0078 0.0075 0.0073
-2.3 0.0107 0.0104 0.0002 0.0099
0.0096
-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116
-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150
-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192
0.0262 0.0256
0.0329 0.0322
0,0409 0.0401
0.0505 0.0495
0.0630 0.0618 0.0606
-1.9 0.0287 0.0781 0.0274 0.0268
-1.8 0.0359 0.0351 0.0344 0.0336
-1.7 0.0446 0,0436 0.0427 0.0418
-1.6 0.0548 0.0537 0.0526 0.0516
-1.5 0.0668 0.0655 0.0643
Standard Normal Distribution
.02 .03 .04
.05 .06
.08
.09
3.0
3.1
0.0071 0.0069 0.0068 0.0066 0.0064
0.0094 0.0091 0.0089 0.0087 0.0084
0.0110
0.0113
0.0146
0.0146 0.0143
0.0188
0.0188 0.0183
-1.4 0.0808 0.0793 0.0778
-1.3 0.0968 0.0951 0.0934
-1.2 0.1151 0.1131 0.1112
-1.1 0.1357 0.1335 0.1314
0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823
0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170
-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379
-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611
-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867
-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 02148
-0.6 0.2743 0,2709 0.2676 0.2643 0.2611 0.2578 0,2546 0.2514 0.2483 0.2451
-0.5 0.3085 0.3050 0.3015 02981 0.2946 0.2912 0.2877 0.2843 0.2810
0.2810 0.2776
-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121
-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483
-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859
-0.1 0.4602 0.4562 0.4522 0,4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247
-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641
0.0
0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319
0.5319 0.5359
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714
0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026
0.5753
0.2
0.3
0.6179 0.6217 0.6255 0,6293
0.4
0.6554 0.6591 0.6628 0.6664
0.6064 0.6103 0.6141
0.6331 0.6368 0.6406
0.6443 0.6480 0.6517
0.6700 0.6736 0.6772
0.6808 0.6844
0.6844 0.6879
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224
0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 07517 0.7549
0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852
0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133
0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389
z
0.0250 0.0244
0.0239 0.0233
0.0314 0.0307 0.0301 0.0294
0.0392 0.0384 0.0375 0.0367
0.0485 0.0475 0.0465 0.0455
0.0594 0.0582 0.0571 0.0559
1.0
1.1
0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621
0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.88.30
1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0,8962 0.8980 0.8997
0.8997 0.9015
1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 09162 09177
1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
0.9370
1.5 0.9332 0.9345 0.9357
0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441
1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545
1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633
0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706
0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767
0.9788 0.9793 0.9798 0.9803 0.9808 09812 09817
0.9834 09838 0.9842 09846 0.9850 0.9854 0.9857
0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890
0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916
0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936
0.9893 0.9896 0.9898
1.8
1.9
2.0 0.9772 0.9778 0.9783
21 0.9821 0.9826 0.9830
2.2
2.3
24
2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952
2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964
27 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974
0.9974 0.9975
0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979
0.9979 0.9980
0.9980 0.9981
29 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986
0.9986 0.9986
0.9918 0.9920 0.9922
2.8
0.9990 0.9991 0.9991 0.9991
0.9993 0.9993 0.9994 0.9994
3.3 0.9995 0.9995 0.9995 0.9996
3.4 0.9997 0.9997
0.9997
0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990
0.9992 0.9993 0.9993
0.9995 0.9995 0.9995
0.9996 0.9996 0.9997
0.9997 0.9997 0.9998
0.9992 0.9992 0.9992
0.9994 0.9994 0.9994
0.9996 0.9996 0.9996
0.9997 0.9997 0.9997
0.9997
0.9997
.00 .01
.02
.03
.04
.05 .06
.07 .08 .09
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1: the area under the standard normal curve between two z-scores
we have to use a standard normal distribution table
Step by step
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Elementary Statistics: Picturing the World (7th E…
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ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
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Introduction to the Practice of Statistics
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ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman