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
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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.)
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
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
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Step 1: the area under the standard normal curve between two z-scores

we have to use a standard normal distribution table

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