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Assume that adults have IQ scores that are normally distributed with a mean of μ = 100 and a standard deviation = 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places s needed.) Standard Normal Table (Page 2) POSITIVE Z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT - X Standard Normal Table (Page 1) NEGATIVE z Scores -3.50 Standard Normal (2) Distribution: Cumulative Area from the LEFT ,00 01 02 03 04 05 06 07 08

Assume that adults have IQ scores that are normally distributed with a mean of μ = 100 and a standard deviation = 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places s needed.) Standard Normal Table (Page 2) POSITIVE Z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT - X Standard Normal Table (Page 1) NEGATIVE z Scores -3.50 Standard Normal (2) Distribution: Cumulative Area from the LEFT ,00 01 02 03 04 05 06 07 08

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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Assume that adults have IQ scores that are normally distributed with a mean of μ = 100 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.) Standard Normal Table (Page 2) 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 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 34 0 .00 Standard Normal (z) Distribution: Cumulative Area from the LEFT .5000 5398 5793 .6179 .6554 .6915 7257 7580 .7881 .8159 .8413 .8643 .8849 9032 .9192 .9332 9452 .9554 9641 9713 9772 .9821 .9861 9893 .9918 .9938 Z .9953 .9965 .9974 9981 .9987 9990 .9993 9995 9997 .01 5040 .5438 5832 .6217 .6591 .6950 7291 .7611 7910 .8186 8438 8665 8869 9049 9207 9345 9463 9564 .9649 .9719 .9778 .9826 9864 .9896 9920 9940 .9955 .9966 9975 .9982 9987 .9991 .9993 9995 9997 .02 5080 5478 5871 6255 6628 .6985 7324 7642 7939 .8212 .8461 8686 8888 9066 9222 9357 9474 .9573 .9656 .9726 9783 9830 9868 .9898 9922 9941 9956 9967 .9976 9982 9987 .9991 9994 .9995 9997 POSITIVE z Scores .03 5120 .5160 .5517 .5557 5910 .5948 .6293 .6331 .6664 7019 7357 7673 7967 8238 8485 8708 .8907 .9082 .9236 9370 9484 .9582 9871 9901 .9925 9943 .9957 .04 .9968 9977 .9983 9988 .9991 9994 9996 9997 .6700 .7054 7389 .7704 7995 .8264 .8508 .8531 .8729 .8749 .8925 .8944 .9099 .9115 .9251 .9265 .9382 .9394 9495 9505 .9591 .9599 9664 .9671 .9732 .9738 9788 .9793 9834 .9838 .9875 .9904 .9927 .9945 .05 .9959 .9969 .9977 .9984 .9988 .9992 .9994 .9996 9997 .5199 .5596 .5987 .6368 .6736 .7088 7422 .7734 .8023 .8289 .9678 .9744 .9798 .9842 9878 .9906 .9929 .9946 9960 .9970 9978 9984 .9989 .9992 .9994 .9996 9997 .06 .5239 .5636 .6026 .6406 .6772 7123 7454 .7764 .8051 .8315 8554 .8770 .8962 .9131 .9279 .9406 9515 .9608 .9686 9750 .9803 .9846 .9881 .9909 .9931 .9948 9961 .9971 .9979 9985 .9989 .9992 .9994 .9996 9997 .07 5279 .5675 6064 5319 5714 .6103 6480 6844 .7190 7517 .7823 .8106 .8365 .8599 8810 .8997 .9162 9306 .9429 .9535 .9625 .9699 9756 .9761 .9808 9812 .9850 .9854 .9884 .9887 .9911 9913 9932 9934 9949 . .9951 .6443 .6808 7157 .7486 7794 .8078 .8340 .8577 .8790 .8980 .9147 9292 9418 9525 9616 9693 9962 .9972 9979 9985 .9989 .08 9992 .9995 9996 9997 .9963 9973 9980 9986 .9990 .9993 9995 9996 9997 .09 .5359 .5753 6141 .6517 .6879 .7224 .7549 .7852 .8133 .8389 .8621 8830 9015 .9177 .9319 9441 9545 .9633 .9706 .9767 .9817 .9857 .9890 9916 .9936 .9952 9964 .9974 .9981 .9986 .9990 .9993 .9995 .9997 9998 C X Standard Normal Table (Page 1) NEGATIVE z Scores Z -3.50 and lower -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 4 Standard Normal (z) Distribution: Cumulative Area from the LEFT -0.4 -0.3 .00 .0001 .0003 .0005 .0007 .0010 .0013 .0019 .0026 .0035 .0047 0062 .0082 0107 .0139 .0179 0228 .0287 0359 0446 0548 0668 0808 .0968 1151 1357 1587 1841 2119 .2420 2743 .3085 3446 3821 4207 .01 0351 0436 0537 0655 0793 .0951 1131 1335 1562 1814 2090 .02 .0003 .0003 .0003 .0005 .0005 .0004 0007 .0006 .0006 0009 .0009 0013 .0013 0018 0018 .0024 .0025 0034 0045 0033 0044 0060 .0059 0080 0078 0104 .0102 .0136 .0132 0174 0170 0222 0217 0281 0274 2389 2709 3050 3409 3783 4168 .0344 0427 0526 .0643 .03 0778 0934 1112 1314 1539 1788 2061 2358 2676 .3015 3372 3745 4129 0212 0268 0336 0418 0516 0630 0764 .0918 1093 1292 1515 1762 .0003 0004 .0005 0007 0010 .0014 0003 .0003 .0003 .0003 .0004 .0004 .0004 .0004 .0006 .0006 .0006 .0005 .0009 .0008 .0008 .0008 .0008 0012 0012 .0011 .0011 ,0011 0017 .0016 .0016 .0015 .0015 .0023 0023 .0021 .0032 0031 .0029 0041 .0040 .0039 0055 .0054 .0052 .0073 .0071 .0069 .0091 .0020 .0022 .0030 .0021 .0028 0038 .0027 0037 .0051 * 0049 0043 .0057 .0075 .0099 .0129 .0068 A.0066 .0125 0162 0096 .0094 .0122 .0158 0119 .0154 0166 .0089 .0116 0150 0192 0244 .0307 0207 0262 0329 0409 0505 0618 .0202 .0197 0250 0314 0392 0485 .0749 0901 1075 0384 0475 .0582 .0708 0853 1020 1210 1423 1271 1660 1922 .2206 .2514 .2843 3192 .3557 zaz6 2033 2327 .04 2643 2981 3336 3707 4090 1492 .1736 .2005 2296 2611 2946 .05 3300 .3669 4052 .06 .0256 .0322 .0401 * .0495 .0606 .0735 .0885 1056 1251 1469 1711 .1977 .2266 2578 .2912 3264 3632 4013 .07 0594 0721 .0869 1038 1230 1446 1685 1949 2236 2546 2877 3228 3594 3074 .08 0087 0113 0146 .0188 0239 .0301 .0375 .0465 .0571 0694 0838 1003 1190 1401 1635 1894 2177 2483 2810 .3156 3520 2007 .09 0002 .0003 0005 0007 0010 .0014 .0019 .0026 0036 .0048 .0064 .0084 .0110 0143 .0183 .0233 0294 .0367 0455 .0559 .0681 0823 0985 1170 .1379 1611 1867 2148 2451 2776 3121 3483 7259 X kt
Transcribed Image Text:Assume that adults have IQ scores that are normally distributed with a mean of μ = 100 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.) Standard Normal Table (Page 2) 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 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 34 0 .00 Standard Normal (z) Distribution: Cumulative Area from the LEFT .5000 5398 5793 .6179 .6554 .6915 7257 7580 .7881 .8159 .8413 .8643 .8849 9032 .9192 .9332 9452 .9554 9641 9713 9772 .9821 .9861 9893 .9918 .9938 Z .9953 .9965 .9974 9981 .9987 9990 .9993 9995 9997 .01 5040 .5438 5832 .6217 .6591 .6950 7291 .7611 7910 .8186 8438 8665 8869 9049 9207 9345 9463 9564 .9649 .9719 .9778 .9826 9864 .9896 9920 9940 .9955 .9966 9975 .9982 9987 .9991 .9993 9995 9997 .02 5080 5478 5871 6255 6628 .6985 7324 7642 7939 .8212 .8461 8686 8888 9066 9222 9357 9474 .9573 .9656 .9726 9783 9830 9868 .9898 9922 9941 9956 9967 .9976 9982 9987 .9991 9994 .9995 9997 POSITIVE z Scores .03 5120 .5160 .5517 .5557 5910 .5948 .6293 .6331 .6664 7019 7357 7673 7967 8238 8485 8708 .8907 .9082 .9236 9370 9484 .9582 9871 9901 .9925 9943 .9957 .04 .9968 9977 .9983 9988 .9991 9994 9996 9997 .6700 .7054 7389 .7704 7995 .8264 .8508 .8531 .8729 .8749 .8925 .8944 .9099 .9115 .9251 .9265 .9382 .9394 9495 9505 .9591 .9599 9664 .9671 .9732 .9738 9788 .9793 9834 .9838 .9875 .9904 .9927 .9945 .05 .9959 .9969 .9977 .9984 .9988 .9992 .9994 .9996 9997 .5199 .5596 .5987 .6368 .6736 .7088 7422 .7734 .8023 .8289 .9678 .9744 .9798 .9842 9878 .9906 .9929 .9946 9960 .9970 9978 9984 .9989 .9992 .9994 .9996 9997 .06 .5239 .5636 .6026 .6406 .6772 7123 7454 .7764 .8051 .8315 8554 .8770 .8962 .9131 .9279 .9406 9515 .9608 .9686 9750 .9803 .9846 .9881 .9909 .9931 .9948 9961 .9971 .9979 9985 .9989 .9992 .9994 .9996 9997 .07 5279 .5675 6064 5319 5714 .6103 6480 6844 .7190 7517 .7823 .8106 .8365 .8599 8810 .8997 .9162 9306 .9429 .9535 .9625 .9699 9756 .9761 .9808 9812 .9850 .9854 .9884 .9887 .9911 9913 9932 9934 9949 . .9951 .6443 .6808 7157 .7486 7794 .8078 .8340 .8577 .8790 .8980 .9147 9292 9418 9525 9616 9693 9962 .9972 9979 9985 .9989 .08 9992 .9995 9996 9997 .9963 9973 9980 9986 .9990 .9993 9995 9996 9997 .09 .5359 .5753 6141 .6517 .6879 .7224 .7549 .7852 .8133 .8389 .8621 8830 9015 .9177 .9319 9441 9545 .9633 .9706 .9767 .9817 .9857 .9890 9916 .9936 .9952 9964 .9974 .9981 .9986 .9990 .9993 .9995 .9997 9998 C X Standard Normal Table (Page 1) NEGATIVE z Scores Z -3.50 and lower -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 4 Standard Normal (z) Distribution: Cumulative Area from the LEFT -0.4 -0.3 .00 .0001 .0003 .0005 .0007 .0010 .0013 .0019 .0026 .0035 .0047 0062 .0082 0107 .0139 .0179 0228 .0287 0359 0446 0548 0668 0808 .0968 1151 1357 1587 1841 2119 .2420 2743 .3085 3446 3821 4207 .01 0351 0436 0537 0655 0793 .0951 1131 1335 1562 1814 2090 .02 .0003 .0003 .0003 .0005 .0005 .0004 0007 .0006 .0006 0009 .0009 0013 .0013 0018 0018 .0024 .0025 0034 0045 0033 0044 0060 .0059 0080 0078 0104 .0102 .0136 .0132 0174 0170 0222 0217 0281 0274 2389 2709 3050 3409 3783 4168 .0344 0427 0526 .0643 .03 0778 0934 1112 1314 1539 1788 2061 2358 2676 .3015 3372 3745 4129 0212 0268 0336 0418 0516 0630 0764 .0918 1093 1292 1515 1762 .0003 0004 .0005 0007 0010 .0014 0003 .0003 .0003 .0003 .0004 .0004 .0004 .0004 .0006 .0006 .0006 .0005 .0009 .0008 .0008 .0008 .0008 0012 0012 .0011 .0011 ,0011 0017 .0016 .0016 .0015 .0015 .0023 0023 .0021 .0032 0031 .0029 0041 .0040 .0039 0055 .0054 .0052 .0073 .0071 .0069 .0091 .0020 .0022 .0030 .0021 .0028 0038 .0027 0037 .0051 * 0049 0043 .0057 .0075 .0099 .0129 .0068 A.0066 .0125 0162 0096 .0094 .0122 .0158 0119 .0154 0166 .0089 .0116 0150 0192 0244 .0307 0207 0262 0329 0409 0505 0618 .0202 .0197 0250 0314 0392 0485 .0749 0901 1075 0384 0475 .0582 .0708 0853 1020 1210 1423 1271 1660 1922 .2206 .2514 .2843 3192 .3557 zaz6 2033 2327 .04 2643 2981 3336 3707 4090 1492 .1736 .2005 2296 2611 2946 .05 3300 .3669 4052 .06 .0256 .0322 .0401 * .0495 .0606 .0735 .0885 1056 1251 1469 1711 .1977 .2266 2578 .2912 3264 3632 4013 .07 0594 0721 .0869 1038 1230 1446 1685 1949 2236 2546 2877 3228 3594 3074 .08 0087 0113 0146 .0188 0239 .0301 .0375 .0465 .0571 0694 0838 1003 1190 1401 1635 1894 2177 2483 2810 .3156 3520 2007 .09 0002 .0003 0005 0007 0010 .0014 .0019 .0026 0036 .0048 .0064 .0084 .0110 0143 .0183 .0233 0294 .0367 0455 .0559 .0681 0823 0985 1170 .1379 1611 1867 2148 2451 2776 3121 3483 7259 X kt
Expert Solution
Step 1

Given that 

X ~ N(μ = 100 , σ = 15 )
μ = 100  , σ = 15
Formula for Z-score
Z = (X - μ) / σ
steps

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