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In a recent year, about 22% of Americans 15 years and older are single. What is the probability that in a random sample of 180 Americans 15 or older, more than 27 are single? Round the final answer to at least 4 decimal places and intermediate z-value calculations to 2 decimal places. P( X>27)=

In a recent year, about 22% of Americans 15 years and older are single. What is the probability that in a random sample of 180 Americans 15 or older, more than 27 are single? Round the final answer to at least 4 decimal places and intermediate z-value calculations to 2 decimal places. P( X>27)=

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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In a recent year, about 22% of Americans 15 years and older are single. What is the probability that in a random sample of 180 Americans 15 or older, more than 27 are single? Round the final answer to at least 4 decimal places and intermediate z-value calculations to 2 decimal places.

  • P( X>27)= 
TABLE E The Standard Normal Distribution Cumulative Standard Normal Distribution .00 .01 02 03 04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 0003 .0003 0003 .0003 .0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 0004 0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 0006 .0006 0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 0008 0008 0008 .0008 .0007 .0007 -3.0 .0013 .0013 .0013 0012 0012 0011 0011 .0011 0010 .0010 -2.9 .0019 .0018 .0018 0017 0016 0016 0015 .0015 .0014 .0014 -2.8 .0026 .0025 0024 .0023 .0023 0022 0021 0021 .0020 .0019 -2.7 .0035 .0034 0033 .0032 0031 0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 0044 0043 .0041 0040 0039 0038 .0037 0036 0059 0078 -2.5 .0062 .0060 .0057 0055 0054 0052 .0051 0049 .0048 -2.4 .0082 .0080 .0075 0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 0104 0102 .0099 0096 0094 .0091 .0089 0087 .0084 -2.2 .0139 0136 0132 .0129 0125 0122 .0119 .0116 .0113 .0110 -2.1 0179 0174 0170 0166 0162 0158 0154 .0150 0146 .0143 -2.0 .0228 0222 .0217 .0212 0207 0202 0197 .0192 0188 .0183 -1.9 .0287 0281 0274 .0268 .0262 0256 0250 .0244 .0239 .0233 -1.8 0359 0351 0344 0336 .0329 .0322 .0314 0307 .0301 .0294 -1.7 .0446 0436 0427 0418 .0409 0401 .0392 0384 0375 .0367 -1.6 .0548 0537 .0526 0516 .0505 0495 .0485 0475 0465 .0455 -1.5 .0668 .0655 0643 0630 0618 0606 .0594 0582 0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 0721 .0708 0694 .0681 -1.3 .0968 0951 .0934 .0918 0901 0885 .0869 .0853 .0838 .0823 1093 .1056 .1038 1003 .0985 .1112 .1314 .1539 .1788 -1.2 .1151 .1131 .1075 .1020 .1251 .1230 1210 .1190 .1170 .1292 .1515 1762 2033 1271 1335 .1562 -1.1 .1357 -1.0 .1587 1492 .1469 .1446 1423 .1401 .1379 1635 .1711 .1977 .1685 .1949 -0.9 .1841 .1814 1736 1660 .1611 -0.8 .2119 2090 .2061 .2005 1922 .1894 .1867 -0.7 .2420 2389 2358 2327 2296 2266 2236 .2206 .2177 .2148 .2611 ,2578 2546 .2514 2483 .2451 .2676 .3015 -0.6 .2743 2709 2643 2843 .2776 .2877 3228 .2810 2981 .3336 2946 3300 -0.5 .3085 .3050 2912 .3372 .3264 .3192 .3156 .3121 .3446 3821 4207 -0.4 .3409 .3632 .3594 .3557 .3520 .3483 3669 4052 4443 -0,3 .3783 .3745 .3707 4168 .4129 .4090 .4013 .3974 .3936 .3897 .3859 -0.2 -0.1 4562 .4522 4483 .4404 4364 4325 4286 4247 4602 -0.0 4960 .4920 4880 .4840 4801 .4761 .4721 .4681 4641 5000 For z values less than-3.49, use 0.0001.
Transcribed Image Text:TABLE E The Standard Normal Distribution Cumulative Standard Normal Distribution .00 .01 02 03 04 .05 .06 .07 .08 .09 -3.4 .0003 .0003 0003 .0003 0003 .0003 .0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 0004 0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 0006 .0006 0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 0008 0008 0008 .0008 .0007 .0007 -3.0 .0013 .0013 .0013 0012 0012 0011 0011 .0011 0010 .0010 -2.9 .0019 .0018 .0018 0017 0016 0016 0015 .0015 .0014 .0014 -2.8 .0026 .0025 0024 .0023 .0023 0022 0021 0021 .0020 .0019 -2.7 .0035 .0034 0033 .0032 0031 0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 0044 0043 .0041 0040 0039 0038 .0037 0036 0059 0078 -2.5 .0062 .0060 .0057 0055 0054 0052 .0051 0049 .0048 -2.4 .0082 .0080 .0075 0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 0104 0102 .0099 0096 0094 .0091 .0089 0087 .0084 -2.2 .0139 0136 0132 .0129 0125 0122 .0119 .0116 .0113 .0110 -2.1 0179 0174 0170 0166 0162 0158 0154 .0150 0146 .0143 -2.0 .0228 0222 .0217 .0212 0207 0202 0197 .0192 0188 .0183 -1.9 .0287 0281 0274 .0268 .0262 0256 0250 .0244 .0239 .0233 -1.8 0359 0351 0344 0336 .0329 .0322 .0314 0307 .0301 .0294 -1.7 .0446 0436 0427 0418 .0409 0401 .0392 0384 0375 .0367 -1.6 .0548 0537 .0526 0516 .0505 0495 .0485 0475 0465 .0455 -1.5 .0668 .0655 0643 0630 0618 0606 .0594 0582 0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 0721 .0708 0694 .0681 -1.3 .0968 0951 .0934 .0918 0901 0885 .0869 .0853 .0838 .0823 1093 .1056 .1038 1003 .0985 .1112 .1314 .1539 .1788 -1.2 .1151 .1131 .1075 .1020 .1251 .1230 1210 .1190 .1170 .1292 .1515 1762 2033 1271 1335 .1562 -1.1 .1357 -1.0 .1587 1492 .1469 .1446 1423 .1401 .1379 1635 .1711 .1977 .1685 .1949 -0.9 .1841 .1814 1736 1660 .1611 -0.8 .2119 2090 .2061 .2005 1922 .1894 .1867 -0.7 .2420 2389 2358 2327 2296 2266 2236 .2206 .2177 .2148 .2611 ,2578 2546 .2514 2483 .2451 .2676 .3015 -0.6 .2743 2709 2643 2843 .2776 .2877 3228 .2810 2981 .3336 2946 3300 -0.5 .3085 .3050 2912 .3372 .3264 .3192 .3156 .3121 .3446 3821 4207 -0.4 .3409 .3632 .3594 .3557 .3520 .3483 3669 4052 4443 -0,3 .3783 .3745 .3707 4168 .4129 .4090 .4013 .3974 .3936 .3897 .3859 -0.2 -0.1 4562 .4522 4483 .4404 4364 4325 4286 4247 4602 -0.0 4960 .4920 4880 .4840 4801 .4761 .4721 .4681 4641 5000 For z values less than-3.49, use 0.0001.
TABLE E (continued) Cumulative Standard Normal Distribution .00 .01 .02 .03 .04 05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 5199 .5239 .5279 .5319 .5359 0.1 .5398 .5438 .5478 5517 5557 5596 .5636 .5675 5714 .5753 0.2 .5793 .5832 5871 5910 5948 .5987 .6026 .6064 6103 6141 0.3 .6179 .6217 6255 6293 6331 6368 6406 6443 .6480 6517 0.4 6554 .6591 6628 6664 6700 6736 6772 .6808 .6844 .6879 0.5 .6915 .6950 6985 7019 .7054 7088 .7123 .7157 .7190 .7224 0.6 .7257 .7291 .7324 7357 .7389 .7422 .7454 .7764 7486 7517 .7549 0.7 .7580 7611 .7642 .7673 .7704 .7734 7794 .7823 .7852 0.8 .7881 .7910 .7939 .7967 .7995 8023 8051 .8106 8078 .8133 .8159 8212] 0.9 .8186 .8238 8264 8289 8315 8340 .8365 .8389 1.0 .8413 8438 .8461 .8485 .8508 .8531 .8554 8577 8599 8621 1.1 .8643 8665 8686 .8708 .8729 8749 .8770 8790 88 10 8830 1.2 8849 .8869 .8888 8907 .8925 .8944 .8962 .8980 .8997 9015 1.3 9032 9049 9066 9082 9099 9115 9131 9147 .9162 9177 1.4 9192 9207 ,9222 .9236 9251 .9265 9279 .9292 .9306 9319 1.5 9332 9345 9357 9370 9382 9394 9406 9418 .9429 .9441 1.6 ,9452 9463 9474 .9484 .9495 .9505 9515 .9525 9535 .9545 1.7 .9554 9564 9573 9582 9591 9599 9608 9616 9625 9633 1.8 .9641 ,9649 9656 9664 9671 9678 9686 ,9693 9699 9706 1.9 .9713 9719 9726 9732 9738 9744 9750 9756 9761 9767 2.0 .9772 .9778 .9783 .9788 .9793 9798 ,9803 9808 .9817 2.1 9821 9826 9830 9834 9838 9842 9846 9850 9854 9857 2.2 2.3 .9861 9864 9868 9871 .9875 9878 9881 9884 .9887 9890 .9893 ,9896 9898 .9901 9904 9906 9909 .9911 .9913 9916 2.4 .9918 9920 9922 .9925 ,9927 9929 9931 .9932 .9934 9936 9940 9955 2.5 .9938 9941 9943 9945 9946 9948 9949 9951 9952 2.6 9953 ,9956 ,9957 9959 ,9960 9961 .9962 .9963 9964 2.7 9965 9966 9967 9968 9969 9970 ,9971 9972 9973 9974 2.8 ,9974 9975 9976 9977 .9977 9978 9979 9979 9980 .9981 2.9 9981 9982 9982 9983 9984 9984 9985 9985 9986 9986 3.0 9987 9987 9987 9988 .9988 .9989 9989 9989 9990 9990 3.1 .9990 9991 9991 9991 9992 .9992 9992 ,9992 9993 9993 3.2 .9993 9993 9994 9994 9994 .9994 .9994 ,9995 .9995 .9995 3.3 ,9995 9995 9995 9996 9996 9996 9996 9996 9996 9997 3.4 9997 9997. 9997 9997 9997 9997 ,9997 9997 9997 9998 For z values greater than 3.49, use 0.9999,
Transcribed Image Text:TABLE E (continued) Cumulative Standard Normal Distribution .00 .01 .02 .03 .04 05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 5199 .5239 .5279 .5319 .5359 0.1 .5398 .5438 .5478 5517 5557 5596 .5636 .5675 5714 .5753 0.2 .5793 .5832 5871 5910 5948 .5987 .6026 .6064 6103 6141 0.3 .6179 .6217 6255 6293 6331 6368 6406 6443 .6480 6517 0.4 6554 .6591 6628 6664 6700 6736 6772 .6808 .6844 .6879 0.5 .6915 .6950 6985 7019 .7054 7088 .7123 .7157 .7190 .7224 0.6 .7257 .7291 .7324 7357 .7389 .7422 .7454 .7764 7486 7517 .7549 0.7 .7580 7611 .7642 .7673 .7704 .7734 7794 .7823 .7852 0.8 .7881 .7910 .7939 .7967 .7995 8023 8051 .8106 8078 .8133 .8159 8212] 0.9 .8186 .8238 8264 8289 8315 8340 .8365 .8389 1.0 .8413 8438 .8461 .8485 .8508 .8531 .8554 8577 8599 8621 1.1 .8643 8665 8686 .8708 .8729 8749 .8770 8790 88 10 8830 1.2 8849 .8869 .8888 8907 .8925 .8944 .8962 .8980 .8997 9015 1.3 9032 9049 9066 9082 9099 9115 9131 9147 .9162 9177 1.4 9192 9207 ,9222 .9236 9251 .9265 9279 .9292 .9306 9319 1.5 9332 9345 9357 9370 9382 9394 9406 9418 .9429 .9441 1.6 ,9452 9463 9474 .9484 .9495 .9505 9515 .9525 9535 .9545 1.7 .9554 9564 9573 9582 9591 9599 9608 9616 9625 9633 1.8 .9641 ,9649 9656 9664 9671 9678 9686 ,9693 9699 9706 1.9 .9713 9719 9726 9732 9738 9744 9750 9756 9761 9767 2.0 .9772 .9778 .9783 .9788 .9793 9798 ,9803 9808 .9817 2.1 9821 9826 9830 9834 9838 9842 9846 9850 9854 9857 2.2 2.3 .9861 9864 9868 9871 .9875 9878 9881 9884 .9887 9890 .9893 ,9896 9898 .9901 9904 9906 9909 .9911 .9913 9916 2.4 .9918 9920 9922 .9925 ,9927 9929 9931 .9932 .9934 9936 9940 9955 2.5 .9938 9941 9943 9945 9946 9948 9949 9951 9952 2.6 9953 ,9956 ,9957 9959 ,9960 9961 .9962 .9963 9964 2.7 9965 9966 9967 9968 9969 9970 ,9971 9972 9973 9974 2.8 ,9974 9975 9976 9977 .9977 9978 9979 9979 9980 .9981 2.9 9981 9982 9982 9983 9984 9984 9985 9985 9986 9986 3.0 9987 9987 9987 9988 .9988 .9989 9989 9989 9990 9990 3.1 .9990 9991 9991 9991 9992 .9992 9992 ,9992 9993 9993 3.2 .9993 9993 9994 9994 9994 .9994 .9994 ,9995 .9995 .9995 3.3 ,9995 9995 9995 9996 9996 9996 9996 9996 9996 9997 3.4 9997 9997. 9997 9997 9997 9997 ,9997 9997 9997 9998 For z values greater than 3.49, use 0.9999,
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