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Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 135. Click to view page 1 of the table. Click to view page 2 of the table. (Type an integer or decly selected adult has an IQ less than 135 is. or decimal rounded to four decimal places as needed.) The probabilit that a Standard Normal Table (Page 2) ENNEN5545555=5888ERERE: 26 Standard Normal (z) Distribution: Cumulative Area from the LEFT 08 .00 .01 POSITIVE z Scores 02 .03 I Standard Normal Table (Page 1) NEGATIVE z Scores 77777777777777777¶¶¶¶¶¶¶¶ Standard Normal (2) Distribution: Cumulative Area from the LEFT .00 [ Print Done 21 ⠀⠀⠀⠀⠀

Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 135. Click to view page 1 of the table. Click to view page 2 of the table. (Type an integer or decly selected adult has an IQ less than 135 is. or decimal rounded to four decimal places as needed.) The probabilit that a Standard Normal Table (Page 2) ENNEN5545555=5888ERERE: 26 Standard Normal (z) Distribution: Cumulative Area from the LEFT 08 .00 .01 POSITIVE z Scores 02 .03 I Standard Normal Table (Page 1) NEGATIVE z Scores 77777777777777777¶¶¶¶¶¶¶¶ Standard Normal (2) Distribution: Cumulative Area from the LEFT .00 [ Print Done 21 ⠀⠀⠀⠀⠀

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Assume that adults have IQ scores that are normally distributed with a mean of µ = 105 and a standard deviation = 15. Find the probability that a randomly selected adult has an IQ less than 135. 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 135 is (Type an integer or decimal rounded to four decimal places as needed.) Standard Normal Table (Page 2) Z 0.0 0,1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 822MH4SNR9N N N N N N M 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 2.3 56 2.5 2.8 3.0 3.1 3.2 3.3 3.4 3.50 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 .9953 .9965 .9974 .9981 .9987 9990 Z .9993 .9995 .9997 9999 .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 .5517 5910 .6293 6664 .7019 .7357 .7673 .7967 .8238 .8485 .8708 .8907 .9082 .9236 .9370 9484 .9582 .9664 .9732 9788 .9834 .9871 .9901 .9925 .9943 .9957 .9968 .9977 9983 9988 .9991 9994 .9996 .9997 .04 5160 .5557 .5948 .6331 .6700 .7054 .7389 .7704 .7995 .8264 .8508 .8729 .8925 .9099 .9251 .9382 .9495 * .9591 .9671 .9738 .9793 .9838 .9875 .9904 .9927 .9945 .9959 .9969 .9977 .9984 .9988 .9992 .9994 .9996 .9997 .05 5199 5596 5987 .6368 .6736 .7088 7422 .7734 .8023 .8289 .8531 .8749 .8944 .9115 .9265 .9394 .9505 .9599 .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 .6443 .6808 .7157 .7486 .7794 8078 .8340 .8577 .8790 .8980 .9147 .9292 9418 9525 .9616 9693 .9756 .9808 .9850 .9884 .9911 .9932 .9949 .9962 .9972 9979 9985 .9989 9992 .9995 .9996 .9997 .08 5319 .5714 .6103 6480 6844 .7190 .7517 .7823 .8106 .8365 .8599 .8810 .8997 .9162 .9306 .9429 .9535 .9625 .9699 .9761 9812 .9854 .9887 .9913 .9934 .9951 .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 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 -0.4 -0.3 -0.2 -0.1 -0.0 Standard Normal (z) Distribution: Cumulative Area from the LEFT .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 .4602 .5000 .01 0003 .0005 .0007 .0009 .0013 .0018 .0025 0034 0045 0060 .0080 0104 0136 0174 0222 0281 .0351 0436 0537 0655 0793 0951 1131 1335 1562 1814 2090 2389 2709 .3050 .3409 .3783 4168 .4562 4960 02 .0003 .0005 .0006 .0009 0013 .0018 .0024 .0033 0044 .0059 .0078 .0102 .0132 0170 0217 0274 .0344 0427 0526 0643 0778 0934 1112 1314 1539 1788 2061 2358 2676 .3015 3372 .3745 4129 .4522 4920 .03 .0003 .0004 .0006 .0009 .0012 .0017 .0023 .0032 .0043 .0057 .0075 .0099 .0129 .0166 0212 .0268 .0336 0418 .0516 .0630 .0764 .0918 1093 1292 1515 1762 2033 2327 2643 2981 3336 .3707 4090 .4483 .4880 Print .04 .05 .0016 0003 .0003 .0004 .0004 .0006 .0006 .0008 .0008 .0012 .0011 .0016 .0022 .0030 .0040 .0054 .0071 .0094 0023 .0031 .0041 0055 .0073 0096 .0125 .0122 .0158 0162 0207 .0202 0262 .0329 .0256 .0322 .0401 0409 0505 0618 0749 0901 1075 * .0495 .0606 .0735 .0885 1056 1251 .1469 1711 1977 .1271 1492 .1736 .2005 .2266 .2296 2611 2946 .2578 .2912 3300 .3669 4052 .4443 4840 .3264 3632 4013 .4404 .4801 Done .06 .0003 .0004 .0006 .0008 .0011 .0015 .0021 .0029 .0039 0052 .0069 .0091 0119 0154 0197 0250 0314 0392 0485 0594 0721 .0869 1038 1230 1446 1685 1949 2236 2546 2877 3228 3594 3974 4364 4761 .07 .0003 .0004 .0005 .0008 .0011 .0015 .0021 .0028 .0038 .0051 .0068 .0089 .0116 0150 .0192 .0244 .0307 0384 0475 .0582 .0708 0853 1020 1210 1423 1660 1922 .2206 .2514 .2843 0 .3192 .3557 .3936 .4325 .4721 .08 0003 .0004 .0005 .0007 0010 .0014 .0020 0027 0037 * .0049 .0066 .0087 0113 0146 .0188 0239 .0301 .0375 0465 .0571 0694 0838 1003 1190 1401 1635 1894 2177 .2483 2810 .3156 3520 .3897 4286 4681 .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 3859 .4247 .4641
Transcribed Image Text:Assume that adults have IQ scores that are normally distributed with a mean of µ = 105 and a standard deviation = 15. Find the probability that a randomly selected adult has an IQ less than 135. 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 135 is (Type an integer or decimal rounded to four decimal places as needed.) Standard Normal Table (Page 2) Z 0.0 0,1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 822MH4SNR9N N N N N N M 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 2.3 56 2.5 2.8 3.0 3.1 3.2 3.3 3.4 3.50 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 .9953 .9965 .9974 .9981 .9987 9990 Z .9993 .9995 .9997 9999 .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 .5517 5910 .6293 6664 .7019 .7357 .7673 .7967 .8238 .8485 .8708 .8907 .9082 .9236 .9370 9484 .9582 .9664 .9732 9788 .9834 .9871 .9901 .9925 .9943 .9957 .9968 .9977 9983 9988 .9991 9994 .9996 .9997 .04 5160 .5557 .5948 .6331 .6700 .7054 .7389 .7704 .7995 .8264 .8508 .8729 .8925 .9099 .9251 .9382 .9495 * .9591 .9671 .9738 .9793 .9838 .9875 .9904 .9927 .9945 .9959 .9969 .9977 .9984 .9988 .9992 .9994 .9996 .9997 .05 5199 5596 5987 .6368 .6736 .7088 7422 .7734 .8023 .8289 .8531 .8749 .8944 .9115 .9265 .9394 .9505 .9599 .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 .6443 .6808 .7157 .7486 .7794 8078 .8340 .8577 .8790 .8980 .9147 .9292 9418 9525 .9616 9693 .9756 .9808 .9850 .9884 .9911 .9932 .9949 .9962 .9972 9979 9985 .9989 9992 .9995 .9996 .9997 .08 5319 .5714 .6103 6480 6844 .7190 .7517 .7823 .8106 .8365 .8599 .8810 .8997 .9162 .9306 .9429 .9535 .9625 .9699 .9761 9812 .9854 .9887 .9913 .9934 .9951 .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 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 -0.4 -0.3 -0.2 -0.1 -0.0 Standard Normal (z) Distribution: Cumulative Area from the LEFT .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 .4602 .5000 .01 0003 .0005 .0007 .0009 .0013 .0018 .0025 0034 0045 0060 .0080 0104 0136 0174 0222 0281 .0351 0436 0537 0655 0793 0951 1131 1335 1562 1814 2090 2389 2709 .3050 .3409 .3783 4168 .4562 4960 02 .0003 .0005 .0006 .0009 0013 .0018 .0024 .0033 0044 .0059 .0078 .0102 .0132 0170 0217 0274 .0344 0427 0526 0643 0778 0934 1112 1314 1539 1788 2061 2358 2676 .3015 3372 .3745 4129 .4522 4920 .03 .0003 .0004 .0006 .0009 .0012 .0017 .0023 .0032 .0043 .0057 .0075 .0099 .0129 .0166 0212 .0268 .0336 0418 .0516 .0630 .0764 .0918 1093 1292 1515 1762 2033 2327 2643 2981 3336 .3707 4090 .4483 .4880 Print .04 .05 .0016 0003 .0003 .0004 .0004 .0006 .0006 .0008 .0008 .0012 .0011 .0016 .0022 .0030 .0040 .0054 .0071 .0094 0023 .0031 .0041 0055 .0073 0096 .0125 .0122 .0158 0162 0207 .0202 0262 .0329 .0256 .0322 .0401 0409 0505 0618 0749 0901 1075 * .0495 .0606 .0735 .0885 1056 1251 .1469 1711 1977 .1271 1492 .1736 .2005 .2266 .2296 2611 2946 .2578 .2912 3300 .3669 4052 .4443 4840 .3264 3632 4013 .4404 .4801 Done .06 .0003 .0004 .0006 .0008 .0011 .0015 .0021 .0029 .0039 0052 .0069 .0091 0119 0154 0197 0250 0314 0392 0485 0594 0721 .0869 1038 1230 1446 1685 1949 2236 2546 2877 3228 3594 3974 4364 4761 .07 .0003 .0004 .0005 .0008 .0011 .0015 .0021 .0028 .0038 .0051 .0068 .0089 .0116 0150 .0192 .0244 .0307 0384 0475 .0582 .0708 0853 1020 1210 1423 1660 1922 .2206 .2514 .2843 0 .3192 .3557 .3936 .4325 .4721 .08 0003 .0004 .0005 .0007 0010 .0014 .0020 0027 0037 * .0049 .0066 .0087 0113 0146 .0188 0239 .0301 .0375 0465 .0571 0694 0838 1003 1190 1401 1635 1894 2177 .2483 2810 .3156 3520 .3897 4286 4681 .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 3859 .4247 .4641
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