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Page 1 Page 2 Standard Normal Distribution

Page 1 Page 2 Standard Normal Distribution

MATLAB: An Introduction with Applications
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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Area Page 1 Page 2 Area Standard Normal Distribution 0.00 0.01 0,02 0,03 0.04 0.05 0.06 0.07 0.08 0.09 Standard Normal Distribution 0.5319 0.5714 0.6103 0.02 0,08 0.5000 0.5398 0.5793 0.5080 0.5478 0.5871 0.6255 0.6628 0,00 0.03 0.05 0,07 0,5040 0.5438 0.5832 0.6217 0.6591 0.5120 0.5517 0,5910 0.6293 0.6664 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.6406 0.6772 0.01 0,04 0.06 0,09 0.0 0.0003 0.0005 0.0007 0.0009 0.0013 0.0003 0.0005 0.0006 0.0009 0.0013 0.0003 0.0004 0.0006 0.0008 0.0011 0.0003 0.0004 0.0005 0.0008 0.0011 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 0.0005 0.0007 0.0010 0.1 0.2 0.3 0.4 0.5160 0.5557 0.5948 0.6331 0.6700 0.5279 0.5675 0.6064 0.6443 0.6808 0,5359 0.5753 0.6141 0.6517 0.6879 -3.4 -33 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 0.0008 0.0012 0.0003 0.0004 0.0006 0.0008 0.0011 0.6179 0.6554 0.6480 0.6844 -3.2 -3.1 -3.0 0.6915 0.7257 0.7580 0.7881 0.8159 0,6950 0,7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0,7967 0.8238 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0.7764 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.5 0.7054 0.7389 0.7704 0.7995 0.8264 0.6 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0,0033 0.0044 0.0059 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0041 0.0055 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 0.0036 0.0048 -29 -28 0.0016 0.7 0.0022 0.0030 0.0040 0.0054 0.8 08051 0.8133 -2.7 -2.6 -2.5 0.9 0.8315 0,8389 0.0039 0.0052 0.8413 0.8643 0,8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0,9207 0.8461 0.8686 0.8888 0.8485 0.8708 0.8907 0.9082 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0,8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.9162 0.9306 0.8621 0.8830 0.90 15 0.9177 0.9319 1.0 1.1 -2.4 -2.3 -2.2 -2.1 -2.0 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0,0078 00102 0.0132 0.0170 0.0217 0.0075 0.0009 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0066 0,0087 0.0113 0.0146 0.0188 0.0064 0.0084 1.2 1.3 0.9066 0.0129 0.0166 0.0212 0.0122 0.0158 0.0202 0.0116 0.0150 0.0192 0.0110 0.0143 0.0183 1.4 0.9222 0.9236 1.5 1.6 1.7 1.8 1.9 0,9332 0.9452 0.9554 0.9641 0.9713 0,9345 0.9463 0.9564 0.9649 0.9719 0.9357 0.9474 0.9573 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9693 0.9756 0.9429 0.9535 0.9625 0,9441 0.9545 0.9633 0.9370 0.0287 0.0359 0.0446 0.0548 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0.0344 0.0427 0.0526 0.0643 0.0250 0.0314 0.0392 0.0485 0.0594 0.9484 0.9582 0.9664 0.9732 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0606 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 -1.9 -1.8 0.9656 0.9726 0.9671 0.9738 0.9678 0.9744 0.9686 0.9750 0.9699 0.9761 0.9706 0,9767 -1.7 -1.6 -1.5 0.0505 0.0618 0.0455 0.0559 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0.9918 0.9778 0,9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9906 0.9929 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0,9887 0.9913 0.9934 0.9817 0,9857 0.9890 0.9916 0.9936 0.0668 0.9788 0.9834 -14 -1.3 -1.2 -1.1 -1.0 0.0808 0.0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 0.9871 0.9901 0.9925 0.1292 0.1515 0.1271 0.1492 0.1210 0.1423 0.1170 0.1379 0.1841 02119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0,2061 0.2358 0.2676 0.3015 0.1736 0.2005 0.2296 0.2611 0.2946 0.1685 0.1940 0.2236 0.2546 0.2877 0.1660 0.1922 02206 02514 02843 2.5 2.6 2.7 0.9938 0.9953 0.9965 0.9074 0,9981 0.9940 0.9955 0.9966 0,9975 0.9982 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9945 0.9959 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0,9984 0.9948 0.9961 0.9971 0,9979 0.9985 0.9949 0.9962 0.9972 0.9979 0.9985 0.9951 0.9963 0,9973 0,9952 0.9964 0.9974 0.1635 0.1894 0.1762 0.2033 0.2327 0.2643 0.2981 0.1711 0.1977 0.2266 0.1611 0.1867 02148 0.2451 0.2776 -0.9 -08 0.9977 0.9983 0.9080 0,9986 0.9981 0.9986 28 0.2177 0.2483 0.2810 -0.7 2.9 0.2578 0.2912 -0.6 0.9089 0,9992 0.9994 0.9996 0.9997 -0.5 3.0 0.9987 0.9987 0,9987 0.9988 0.9988 0.9992 0.9994 0,9989 0.9992 0,9994 0.9989 0.9992 0.9995 0,9990 0,9993 0,9995 0.9990 3.1 3.2 0.9993 0.9995 0.9997 0.9998 0.9990 0,9991 0,9991 0,9991 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 04168 0.3372 0.3745 0.4129 04522 04920 0.3336 0.3707 0.4090 0.4483 0.4880 0.3300 0.3669 0.4052 0.4443 0.4840 0.3264 0.3632 0.4013 0.4404 -04 -0.3 -0.2 -0.1 -0.0 0.3228 0.3594 0.3192 0.3557 0.3156 0.3520 0.3897 0.3121 0,3483 0.3859 0,4247 0.4641 0,9993 0.9995 0.9997 0,9903 0,9994 0.9995 0.9997 0.9994 0.9995 0.9997 0.9996 0.9997 0.3974 0.3936 3.3 0.9996 0.9996 0.9996 0.9996 3.4 0.9997 0.9997 0.9997 0.9997 04562 0.4960 0.4364 0.4761 0.4325 04721 04286 0.4801 0.4681 0,00 0.01 0,02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0,00 0.01 0,02 0,03 0,04 0,05 0,06 0,07 0,08 0.09
Transcribed Image Text:Area Page 1 Page 2 Area Standard Normal Distribution 0.00 0.01 0,02 0,03 0.04 0.05 0.06 0.07 0.08 0.09 Standard Normal Distribution 0.5319 0.5714 0.6103 0.02 0,08 0.5000 0.5398 0.5793 0.5080 0.5478 0.5871 0.6255 0.6628 0,00 0.03 0.05 0,07 0,5040 0.5438 0.5832 0.6217 0.6591 0.5120 0.5517 0,5910 0.6293 0.6664 0.5199 0.5596 0.5987 0.6368 0.6736 0.5239 0.5636 0.6026 0.6406 0.6772 0.01 0,04 0.06 0,09 0.0 0.0003 0.0005 0.0007 0.0009 0.0013 0.0003 0.0005 0.0006 0.0009 0.0013 0.0003 0.0004 0.0006 0.0008 0.0011 0.0003 0.0004 0.0005 0.0008 0.0011 0.0003 0.0004 0.0005 0.0007 0.0010 0.0002 0.0003 0.0005 0.0007 0.0010 0.1 0.2 0.3 0.4 0.5160 0.5557 0.5948 0.6331 0.6700 0.5279 0.5675 0.6064 0.6443 0.6808 0,5359 0.5753 0.6141 0.6517 0.6879 -3.4 -33 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0004 0.0006 0.0009 0.0012 0.0003 0.0004 0.0006 0.0008 0.0012 0.0003 0.0004 0.0006 0.0008 0.0011 0.6179 0.6554 0.6480 0.6844 -3.2 -3.1 -3.0 0.6915 0.7257 0.7580 0.7881 0.8159 0,6950 0,7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0,7967 0.8238 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0.7764 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.5 0.7054 0.7389 0.7704 0.7995 0.8264 0.6 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0,0033 0.0044 0.0059 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0041 0.0055 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0038 0.0051 0.0014 0.0020 0.0027 0.0037 0.0049 0.0014 0.0019 0.0026 0.0036 0.0048 -29 -28 0.0016 0.7 0.0022 0.0030 0.0040 0.0054 0.8 08051 0.8133 -2.7 -2.6 -2.5 0.9 0.8315 0,8389 0.0039 0.0052 0.8413 0.8643 0,8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0,9207 0.8461 0.8686 0.8888 0.8485 0.8708 0.8907 0.9082 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0,8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.9162 0.9306 0.8621 0.8830 0.90 15 0.9177 0.9319 1.0 1.1 -2.4 -2.3 -2.2 -2.1 -2.0 0.0082 0.0107 0.0139 0.0179 0.0228 0.0080 0.0104 0.0136 0.0174 0.0222 0,0078 00102 0.0132 0.0170 0.0217 0.0075 0.0009 0.0073 0.0096 0.0125 0.0162 0.0207 0.0071 0.0094 0.0069 0.0091 0.0119 0.0154 0.0197 0.0068 0.0089 0.0066 0,0087 0.0113 0.0146 0.0188 0.0064 0.0084 1.2 1.3 0.9066 0.0129 0.0166 0.0212 0.0122 0.0158 0.0202 0.0116 0.0150 0.0192 0.0110 0.0143 0.0183 1.4 0.9222 0.9236 1.5 1.6 1.7 1.8 1.9 0,9332 0.9452 0.9554 0.9641 0.9713 0,9345 0.9463 0.9564 0.9649 0.9719 0.9357 0.9474 0.9573 0.9382 0.9495 0.9591 0.9394 0.9505 0.9599 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9693 0.9756 0.9429 0.9535 0.9625 0,9441 0.9545 0.9633 0.9370 0.0287 0.0359 0.0446 0.0548 0.0281 0.0351 0.0436 0.0537 0.0655 0.0274 0.0344 0.0427 0.0526 0.0643 0.0250 0.0314 0.0392 0.0485 0.0594 0.9484 0.9582 0.9664 0.9732 0.0268 0.0336 0.0418 0.0516 0.0630 0.0262 0.0329 0.0409 0.0256 0.0322 0.0401 0.0495 0.0606 0.0244 0.0307 0.0384 0.0475 0.0582 0.0239 0.0301 0.0375 0.0465 0.0571 0.0233 0.0294 0.0367 -1.9 -1.8 0.9656 0.9726 0.9671 0.9738 0.9678 0.9744 0.9686 0.9750 0.9699 0.9761 0.9706 0,9767 -1.7 -1.6 -1.5 0.0505 0.0618 0.0455 0.0559 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0.9918 0.9778 0,9826 0.9864 0.9896 0.9920 0.9783 0.9830 0.9868 0.9898 0.9922 0.9793 0.9838 0.9875 0.9904 0.9927 0.9798 0.9842 0.9878 0.9906 0.9929 0.9803 0.9846 0.9881 0.9909 0.9931 0.9808 0.9850 0.9884 0.9911 0.9932 0.9812 0.9854 0,9887 0.9913 0.9934 0.9817 0,9857 0.9890 0.9916 0.9936 0.0668 0.9788 0.9834 -14 -1.3 -1.2 -1.1 -1.0 0.0808 0.0968 0.1151 0.1357 0.1587 0.0793 0.0951 0.1131 0.1335 0.1562 0.0778 0.0934 0.1112 0.1314 0.1539 0.0764 0.0918 0.1093 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 0.1251 0.1469 0.0721 0.0869 0.1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.0694 0.0838 0.1003 0.1190 0.1401 0.0681 0.0823 0.0985 0.9871 0.9901 0.9925 0.1292 0.1515 0.1271 0.1492 0.1210 0.1423 0.1170 0.1379 0.1841 02119 0.2420 0.2743 0.3085 0.1814 0.2090 0.2389 0.2709 0.3050 0.1788 0,2061 0.2358 0.2676 0.3015 0.1736 0.2005 0.2296 0.2611 0.2946 0.1685 0.1940 0.2236 0.2546 0.2877 0.1660 0.1922 02206 02514 02843 2.5 2.6 2.7 0.9938 0.9953 0.9965 0.9074 0,9981 0.9940 0.9955 0.9966 0,9975 0.9982 0.9941 0.9956 0.9967 0.9976 0.9982 0.9943 0.9957 0.9968 0.9945 0.9959 0.9969 0.9977 0.9984 0.9946 0.9960 0.9970 0.9978 0,9984 0.9948 0.9961 0.9971 0,9979 0.9985 0.9949 0.9962 0.9972 0.9979 0.9985 0.9951 0.9963 0,9973 0,9952 0.9964 0.9974 0.1635 0.1894 0.1762 0.2033 0.2327 0.2643 0.2981 0.1711 0.1977 0.2266 0.1611 0.1867 02148 0.2451 0.2776 -0.9 -08 0.9977 0.9983 0.9080 0,9986 0.9981 0.9986 28 0.2177 0.2483 0.2810 -0.7 2.9 0.2578 0.2912 -0.6 0.9089 0,9992 0.9994 0.9996 0.9997 -0.5 3.0 0.9987 0.9987 0,9987 0.9988 0.9988 0.9992 0.9994 0,9989 0.9992 0,9994 0.9989 0.9992 0.9995 0,9990 0,9993 0,9995 0.9990 3.1 3.2 0.9993 0.9995 0.9997 0.9998 0.9990 0,9991 0,9991 0,9991 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.3783 04168 0.3372 0.3745 0.4129 04522 04920 0.3336 0.3707 0.4090 0.4483 0.4880 0.3300 0.3669 0.4052 0.4443 0.4840 0.3264 0.3632 0.4013 0.4404 -04 -0.3 -0.2 -0.1 -0.0 0.3228 0.3594 0.3192 0.3557 0.3156 0.3520 0.3897 0.3121 0,3483 0.3859 0,4247 0.4641 0,9993 0.9995 0.9997 0,9903 0,9994 0.9995 0.9997 0.9994 0.9995 0.9997 0.9996 0.9997 0.3974 0.3936 3.3 0.9996 0.9996 0.9996 0.9996 3.4 0.9997 0.9997 0.9997 0.9997 04562 0.4960 0.4364 0.4761 0.4325 04721 04286 0.4801 0.4681 0,00 0.01 0,02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0,00 0.01 0,02 0,03 0,04 0,05 0,06 0,07 0,08 0.09
According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.88. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (c) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements. Since the sample size is no more than 5% of the population size and np(1 - p) = 10.56 2 10, the distribution of p is approximately normal with Ha = 0.880 and o. = 0.032 (Round to three decimal places as needed.) (d) In the sample obtained in part (a), what is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.91? The probability that proportion who are satisfied with the way things are going in their life exceeds 0.91 is 0.1736 (Round to four decimal places as needed.) (e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that 80 or fewer people in the sample are satisfied with their lives? The probability that 80 or fewer people in the sample are satisfied is which unusual because this probability less than %. (Round to four decimal places as needed.)
Transcribed Image Text:According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.88. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (c) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements. Since the sample size is no more than 5% of the population size and np(1 - p) = 10.56 2 10, the distribution of p is approximately normal with Ha = 0.880 and o. = 0.032 (Round to three decimal places as needed.) (d) In the sample obtained in part (a), what is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.91? The probability that proportion who are satisfied with the way things are going in their life exceeds 0.91 is 0.1736 (Round to four decimal places as needed.) (e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that 80 or fewer people in the sample are satisfied with their lives? The probability that 80 or fewer people in the sample are satisfied is which unusual because this probability less than %. (Round to four decimal places as needed.)
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