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Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.   Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING...                 115         A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the right half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 115. The area of the shaded region is ? ​(Round to four decimal places as​ needed.)

Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.   Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING...                 115         A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the right half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 115. The area of the shaded region is ? ​(Round to four decimal places as​ needed.)

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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Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
 
Click to view page 1 of the table.
LOADING...
Click to view page 2 of the table.
LOADING...
 
 
 
 
 
 
 
 
115
 
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A graph with a bell-shaped curve, divided into 2 regions by a vertical line. The vertical line extends from the bell curve to the x-axis, and is located on the right half, under the curve. The region on the left of this line is shaded. The x-axis below the vertical line is labeled 115.
The area of the shaded region is ?
​(Round to four decimal places as​ needed.)
POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT .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 0.4 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 6480 .6517 .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 7486 .7517 7549 0.7 7580 7611 .7642 .7673 .7704 .7734 .7764 .7794 7823 .7852 0.8 7881 7910 7939 7967 7995 .8023 .8051 8078 .8106 .8133 0.9 .8159 .8186 .8212 .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 ,8810 .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 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .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 3.50 ,9999 and up
Transcribed Image Text:POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT .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 0.4 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 6480 .6517 .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 7486 .7517 7549 0.7 7580 7611 .7642 .7673 .7704 .7734 .7764 .7794 7823 .7852 0.8 7881 7910 7939 7967 7995 .8023 .8051 8078 .8106 .8133 0.9 .8159 .8186 .8212 .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 ,8810 .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 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .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 3.50 ,9999 and up
Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -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 .011 .001 .001 .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 -2.5 .0062 0060 .0059 .0057 .0055 .0054 .0052 .0051 * 0049 .0048 -2.4 .0082 .0080 .0078 .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 -1.2 1151 1131 112 1093 1075 1056 1038 .1020 .1003 .0985 -1.1 .1357 .1335 1314 1292 .1271 1251 1230 .1210 1190 1170 -1.0 .1587 1562 .1539 1515 1492 .1469 1446 1423 1401 .1379 -0.9 1841 1814 1788 1762 1736 1711 1685 1660 1635 1611 -0.8 2119 2090 2061 2033 .2005 1977 1949 .1922 .1894 .1867 -0.7 2420 2389 2358 2327 2296 .2266 2236 .2206 2177 .2148 -0.6 2743 2709 2676 2643 2611 2578 2546 .2514 .2483 .2451 -0.5 .3085 .3050 .3015 2981 .2946 .2912 2877 .2843 2810 .2776 -0.4 ,3446 3409 3372 3336 3300 3264 3228 3192 3156 .3121 -0.3 3821 3783 3745 3707 3669 3632 3594 3557 3520 3483 -0.2 4207 4168 4129 4090 4052 4013 3974 3936 3897 3859 -0.1 .4602 .4562 .4522 4483 4443 .4404 4364 .4325 4286 .4247 -0.0 .5000 .4960 .4920 .4880 .4840 .4801 4761 .4721 4681 .4641
Transcribed Image Text:Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -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 .011 .001 .001 .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 -2.5 .0062 0060 .0059 .0057 .0055 .0054 .0052 .0051 * 0049 .0048 -2.4 .0082 .0080 .0078 .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 -1.2 1151 1131 112 1093 1075 1056 1038 .1020 .1003 .0985 -1.1 .1357 .1335 1314 1292 .1271 1251 1230 .1210 1190 1170 -1.0 .1587 1562 .1539 1515 1492 .1469 1446 1423 1401 .1379 -0.9 1841 1814 1788 1762 1736 1711 1685 1660 1635 1611 -0.8 2119 2090 2061 2033 .2005 1977 1949 .1922 .1894 .1867 -0.7 2420 2389 2358 2327 2296 .2266 2236 .2206 2177 .2148 -0.6 2743 2709 2676 2643 2611 2578 2546 .2514 .2483 .2451 -0.5 .3085 .3050 .3015 2981 .2946 .2912 2877 .2843 2810 .2776 -0.4 ,3446 3409 3372 3336 3300 3264 3228 3192 3156 .3121 -0.3 3821 3783 3745 3707 3669 3632 3594 3557 3520 3483 -0.2 4207 4168 4129 4090 4052 4013 3974 3936 3897 3859 -0.1 .4602 .4562 .4522 4483 4443 .4404 4364 .4325 4286 .4247 -0.0 .5000 .4960 .4920 .4880 .4840 .4801 4761 .4721 4681 .4641
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