Make a Draw and compute the area under the standard normal curve to the left 1.) z= 1.6 b.) z= 0.90 c.) z= 1.83

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
Make a Draw and compute the area under the standard normal curve to the left 1.) z= 1.6 b.) z= 0.90 c.) z= 1.83
Table of Standard Normal Probabilities for Negative Z-scores
z
-34
-2.0
-1.9
0.0228 0.0222 0.0217
0.0227 0.000
0.0774
0.0287 0.0281 0.0274
0.0359 0.0351 0.0344
0.00 0.01
0.02 0.03 0.04
0.05
0.06
0,07
0.09
0.0003 0.0003 0.0003 0.0003 0,0003 0.0003 0.0003 0.0003 0.0003 0.0002
0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003
-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005
-3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007
-3.0 0.0013 0.0013 0.0013 0.0012 0,0012 0.0011 0.0011 0,0011 00010 0.0010
-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0,0016 0,0015 0,0015 00014 0.0014
-2.8 0.0026 0.0025 0.0024 00023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019
-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026
-2.6
0.0047 0.0045 0.0044 0.0043 0.0041 0,0040 0.0039 0.0038 0.0037 0.0036
-2.5 0.0062 0.0060 0.00.59 0.0057 0.0055 0.0054 0.0052 0,0051 0.0049 0.0048
-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064
-2.3 0.0107 0.0104 0.0102 0.0099
0.0096 0.0094
0.0091
0.0089 0.0087 0.0084
0.0089
-2.2
0.0139 0.0136 0.0132 00125 0,0125 0.0122
00113 0.0110
-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 00150 00146 0.0143
00212 0.0207 0.0202 0.0197 0.0192
0.0183
Bosc
201
0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233
-1.8
00336 0.0329 0.0322 0.0314 0.0307 00301 0.0294
-1.7 0.0446 0.0436 0,0427 00418 0,0409 0,0401 0,0392 0,0384 00375 0.0367
-1.6 0.0548 0.0537 0.0526
00516 0.0505 0.0495 0.0485 0.0475 00465
0.0455
-1.5 0.0668
0.0655 0.0643 0.0630 0.0618
0.0606 0.0594 0.0582 00571 0.0559
-14 0.0808 0.0793 0.0778 00764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
-1.3 0.0968 0.0951 0.0934 0.0918 0,0901 0.0885 0.0869 0,0853 0.0838 0.0823
-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 01003 0.0985
-1.1 0.1357 0.1335
0.1314 0.1292 0.1271 0.1251 0.1230 0.1210
-1.0
0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 01401
0.1379
-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 01635 0.1611
-0.8 02119 0.2090 0.2061 02033 0.2005 0.1977 0.1949 0.1922 0.189 0.1867
-0.7 0.2420 0.2389 0.2358 02327 0.2296 0.2266 0.2236 0.2206 02177 0.2148
-0.6 0.2743 0.2709 0.2676 02643 0.2611 0.2578 0.2546 0.2514 02483 0.2451
-0.5 0.3085 0.3050 0.3015 0.2981 0,2946 0,2912 0.2877 0,2843 02810 0.2776
0.3446 0.3409 0.3372 03336 0.3300 0.3264 0.3228
03192 03156 0.3121
0.3821 0.3783 0.3745 03707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483
04207 0.4168 0.4129 04090 04052 0.4013 0.3974 0.3936 0.3897
0.3859
0.4602 0.4562 0.4522 04483 04443 0.4404 0,4364 04325 04286 0.4247
0.4920 04880
0.4801 0.4761 04721 04681
0.4641
0.1170
-0.4
-0.3
-0.2
-0.1
-0,0
0.5000 0.4960
0,4840
61 10'0
91100
80'0
88100
06110
Table of Standard Normal Probabilities for Positive Z-scores
0,07
0.08
0,09
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 09861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 09890
2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 09916
2.4
0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936
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
2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974
2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980
2.9
0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986
3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989
0.9992 0.9992 0.9992 0.9992
0.9994
0.9994 0.9994 0.9995
0.9996 0.9996 0.9996 0.9996
0.9997 0.9997 0.9997 0,9997
0.00 0.01
0.02 0.03 0.04 0.05
0.5000 0.5040 0.5080 0.5120 05160 0,5199 0.5239 0.5279 0.5319 0.5359
0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636
0.5675 0.5714 0.5753
0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6108 06141
0.6179 0.6217 0.6255 0.6293 06331 0.6368 0.6406 0.6443 0.6480 06517
0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879
0.6915 0.6950 0.6985 0.7019 0.7054 0,7088 0,7123 0.7157 0.7190 07224
07257 07291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549
0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 07852
0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133
0.8159 0.8186 0.8212 0.8238 08264 0.8289 0.8315 0,8340 0.8365 0.8389
0.8413 0.8438 0.8461 0.8485 08508 0.8531 0.8554 0.8577 0.8599 0.8621
0.8643 0.8665 0.8686 0.8708 08729 0.8749 0.8770 0.8790 0.8810 0.8830
08830
0.8849 0.8869 0.8888 0.8907 08925 0.8944 0.8962 0.8980 0.8997 09015
0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 09162 09177
0.9192 0.9207 0.9222 0.9236 09251 0.9265 0.9279
0:9230
0.9292 0.9306 0.9319
09300
0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 09441
09452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 09545
09554 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 09706
0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761
09767
09817
09857
0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812
09821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854
0.9990
3.1
3.2
3.3
3.4
0.9990 0.9991 0.9991 0.9991
0.9993 0.9993 0.9994 0.9994
0.9995 0.9995 0.9995
0.9997 0.9997 0.9997 0.9997
0.9993
0.9993
0.9995 0.9995
0.9997
0.9997 0.9998
9666'0
90'0
0666'0
9666'0
18660
98660
Transcribed Image Text:Table of Standard Normal Probabilities for Negative Z-scores z -34 -2.0 -1.9 0.0228 0.0222 0.0217 0.0227 0.000 0.0774 0.0287 0.0281 0.0274 0.0359 0.0351 0.0344 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0,07 0.09 0.0003 0.0003 0.0003 0.0003 0,0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0,0012 0.0011 0.0011 0,0011 00010 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0,0016 0,0015 0,0015 00014 0.0014 -2.8 0.0026 0.0025 0.0024 00023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0,0040 0.0039 0.0038 0.0037 0.0036 -2.5 0.0062 0.0060 0.00.59 0.0057 0.0055 0.0054 0.0052 0,0051 0.0049 0.0048 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 0.0089 -2.2 0.0139 0.0136 0.0132 00125 0,0125 0.0122 00113 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 00150 00146 0.0143 00212 0.0207 0.0202 0.0197 0.0192 0.0183 Bosc 201 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 00336 0.0329 0.0322 0.0314 0.0307 00301 0.0294 -1.7 0.0446 0.0436 0,0427 00418 0,0409 0,0401 0,0392 0,0384 00375 0.0367 -1.6 0.0548 0.0537 0.0526 00516 0.0505 0.0495 0.0485 0.0475 00465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 00571 0.0559 -14 0.0808 0.0793 0.0778 00764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -1.3 0.0968 0.0951 0.0934 0.0918 0,0901 0.0885 0.0869 0,0853 0.0838 0.0823 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 01003 0.0985 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 01401 0.1379 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 01635 0.1611 -0.8 02119 0.2090 0.2061 02033 0.2005 0.1977 0.1949 0.1922 0.189 0.1867 -0.7 0.2420 0.2389 0.2358 02327 0.2296 0.2266 0.2236 0.2206 02177 0.2148 -0.6 0.2743 0.2709 0.2676 02643 0.2611 0.2578 0.2546 0.2514 02483 0.2451 -0.5 0.3085 0.3050 0.3015 0.2981 0,2946 0,2912 0.2877 0,2843 02810 0.2776 0.3446 0.3409 0.3372 03336 0.3300 0.3264 0.3228 03192 03156 0.3121 0.3821 0.3783 0.3745 03707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 04207 0.4168 0.4129 04090 04052 0.4013 0.3974 0.3936 0.3897 0.3859 0.4602 0.4562 0.4522 04483 04443 0.4404 0,4364 04325 04286 0.4247 0.4920 04880 0.4801 0.4761 04721 04681 0.4641 0.1170 -0.4 -0.3 -0.2 -0.1 -0,0 0.5000 0.4960 0,4840 61 10'0 91100 80'0 88100 06110 Table of Standard Normal Probabilities for Positive Z-scores 0,07 0.08 0,09 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 09861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 09890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 09916 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 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 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9992 0.9992 0.9992 0.9992 0.9994 0.9994 0.9994 0.9995 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0,9997 0.00 0.01 0.02 0.03 0.04 0.05 0.5000 0.5040 0.5080 0.5120 05160 0,5199 0.5239 0.5279 0.5319 0.5359 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6108 06141 0.6179 0.6217 0.6255 0.6293 06331 0.6368 0.6406 0.6443 0.6480 06517 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.6915 0.6950 0.6985 0.7019 0.7054 0,7088 0,7123 0.7157 0.7190 07224 07257 07291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 07852 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8159 0.8186 0.8212 0.8238 08264 0.8289 0.8315 0,8340 0.8365 0.8389 0.8413 0.8438 0.8461 0.8485 08508 0.8531 0.8554 0.8577 0.8599 0.8621 0.8643 0.8665 0.8686 0.8708 08729 0.8749 0.8770 0.8790 0.8810 0.8830 08830 0.8849 0.8869 0.8888 0.8907 08925 0.8944 0.8962 0.8980 0.8997 09015 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 09162 09177 0.9192 0.9207 0.9222 0.9236 09251 0.9265 0.9279 0:9230 0.9292 0.9306 0.9319 09300 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 09441 09452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 09545 09554 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 09706 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 09767 09817 09857 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 09821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9990 3.1 3.2 3.3 3.4 0.9990 0.9991 0.9991 0.9991 0.9993 0.9993 0.9994 0.9994 0.9995 0.9995 0.9995 0.9997 0.9997 0.9997 0.9997 0.9993 0.9993 0.9995 0.9995 0.9997 0.9997 0.9998 9666'0 90'0 0666'0 9666'0 18660 98660
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