12 Assume that adults have IQ scores that are normally distributed with a mean of u 100 and a standard deviation 0 20 Find the probability that a randomly selected adult has an IQ less than 128 Click to View age 1 of the table Click to View p age 2 of the table E) The probability that a randomly selected adult has an IQ less than 128 is E (Type an integer or decimal rounded to four decimal places as needed ) NEGATIVE z Scores Standard Normal (z) Distribution Cumulative Area from the LEFT 01 02 03 04 05 06 07 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 0005 0005 0005 3 1 0010 0009 0009 0009 DO08 OOOB 0007 0007 3 0 0013 0013 0013 0012 0012 0011 oon 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 27 0035 0034 0033 0032 0031 0030 0029 0028 0027 0026 2 6 0047 0045 0044 0043 0041 0040 0039 0038 0037 0036 25 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 on19 0116 0113 on10 21 0179 0174 0170 0166 0162 0158 0154 0150 0146 0143 20 0228 0222 0217 0212 0207 0202 0197 0192 018 8 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 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 068 1 3 0968 0951 0934 0918 0901 0885 0869 0853 0838 0823 1 2 1151 1131 1712 1093 1075 1056 1038 1020 1003 0985 1 1 1357 1335 1314 1292 1271 1251 1230 1210 1190 1170 10 1587 1562 1539 1515 1492 1469 1446 1423 1401 1379 0 9 1841 1814 1788 1762 1736 171 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 $156 3121 0 3 3821 3783 $745 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 468 4641 NOTE For values of z below 3 49, use 0 0001 for the area Use these common values that result from interpolation 2 score Area 1 645 0 0500 2575 0 0050POSITIVE 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 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 7486 7517 7549 0 7 7580 761 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 9015 1 2 3849 8869 8888 8907 8925 8944 8962 8980 8997 1 3 9032 9049 9066 9082 9099 9115 9131 9147 9162 9177 9192 9207 9222 9236 9251 9265 9279 9292 9306 9319 1 4 1 5 9332 9345 9357 9370 9382 9394 9406 9418 9429 9441 9452 9463 9474 9484 9495 9505 9515 9525 9535 9545 1 6 9633 1 7 9554 9564 1573 9582 959 9599 9608 9616 9625 1 8 9706 9641 9649 9656 9664 9671 9678 9686 9693 9699 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 9913 9916 2 3 9893 9896 9898 9901 9904 9906 9909 9911 9932 9934 9936 2 4 9918 9920 9922 9925 9927 9929 9931 2 5 9938 9940 9941 9943 9945 9946 9948 9949 9951 9952 2 6 9953 9955 9956 9957 9959 9960 9961 9962 9963 9964 9967 9968 9969 9970 9971 9972 9973 9974 2 7 9965 9956 2 8 9974 9975 9976 9977 9977 9978 9979 9979 9980 9981 9982 9983 9984 9984 9985 9985 9986 9986 2 9 9981 9982 9990 30 9987 9987 9987 9988 9988 9989 9989 9989 9990 3 1 9990 9991 9991 1666 9992 9992 9992 9992 9993 9993 32 9993 9993 9994 9994 9994 9994 9994 9995 9995 9995 9995 9995 9996 9996 9996 9996 9996 9996 9997 3 3 9995 9997 9997 3997 9997 9997 9997 9997 9997 9997 9998 34 350 9999 and up NOTE For values of z above 3,49, use 0 9999 for the area Common Critical Value Use these common values that result from interpolation Confidence Critical Level Value z score Area 0 90 1 645 1 645 0 9500 0 95 1 96 2 575 0 9950 0 99 2 575

Question

12 Assume that adults have IQ scores that are normally distributed with a mean of u  100 and a standard deviation 0   20  Find the probability that a randomly selected adult has an IQ less than 128  Click to View  age 1 of the table  Click to View p age 2 of the table  E) The probability that a randomly selected adult has an IQ less than 128 is E  (Type an integer or decimal rounded to four decimal places as needed ) NEGATIVE z Scores Standard Normal (z) Distribution  Cumulative Area from the LEFT  01  02  03  04  05  06  07  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 0005 0005 0005  3 1  0010 0009 0009 0009 DO08 OOOB 0007 0007  3 0 0013 0013 0013 0012 0012 0011 oon 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  27  0035 0034 0033 0032 0031 0030 0029  0028 0027 0026  2 6 0047 0045 0044 0043 0041 0040 0039 0038 0037 0036  25 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 on19 0116 0113  on10  21  0179 0174 0170 0166  0162 0158 0154  0150 0146  0143  20  0228  0222 0217 0212 0207  0202 0197 0192 018 8 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  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 068  1 3 0968 0951 0934 0918 0901 0885 0869 0853 0838 0823  1 2 1151  1131 1712 1093 1075 1056 1038 1020 1003 0985  1 1  1357 1335 1314 1292 1271 1251 1230 1210 1190 1170  10  1587 1562 1539 1515 1492  1469 1446 1423 1401  1379  0 9 1841 1814 1788 1762 1736 171 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 $156 3121  0 3  3821 3783 $745 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  468 4641 NOTE  For values of z below  3 49, use 0 0001 for the area   Use these common values that result from interpolation  2 score Area  1 645 0 0500  2575 0 0050POSITIVE 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 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 7486  7517 7549 0 7  7580  761 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 9015 1 2 3849 8869 8888 8907 8925 8944 8962 8980 8997 1 3 9032 9049 9066 9082 9099  9115 9131 9147 9162 9177 9192 9207 9222 9236 9251 9265 9279 9292 9306 9319 1 4 1 5 9332 9345 9357 9370 9382 9394 9406 9418 9429 9441 9452 9463 9474 9484 9495  9505 9515 9525 9535 9545 1 6 9633 1 7 9554  9564 1573 9582 959  9599  9608 9616  9625 1 8 9706 9641 9649 9656 9664 9671 9678 9686 9693 9699 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 9913 9916 2 3 9893 9896 9898 9901 9904 9906 9909 9911 9932 9934 9936 2 4 9918 9920 9922 9925 9927 9929  9931 2 5 9938 9940 9941 9943 9945 9946 9948 9949 9951 9952 2 6 9953 9955 9956 9957 9959 9960 9961 9962 9963 9964 9967 9968 9969  9970 9971 9972 9973 9974 2 7 9965 9956 2 8 9974 9975  9976 9977 9977 9978 9979 9979 9980 9981 9982 9983 9984 9984 9985 9985 9986 9986 2 9 9981 9982 9990 30 9987 9987 9987 9988  9988 9989 9989 9989 9990 3 1 9990 9991 9991 1666 9992 9992 9992 9992  9993 9993 32 9993 9993 9994 9994 9994 9994 9994 9995 9995 9995 9995 9995 9996 9996 9996 9996 9996 9996 9997 3 3 9995 9997 9997 3997 9997 9997 9997 9997 9997  9997 9998 34 350 9999 and up NOTE  For values of z above 3,49, use 0 9999 for the area Common Critical Value  Use these common values that result from interpolation  Confidence   Critical Level Value z score Area 0 90 1 645 1 645 0 9500 0 95 1 96 2 575 0 9950 0 99 2 575

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#12 Assume that adults have IQ scores that are normally distributed with a mean of u: 100 and a standard deviation 0 = 20. Find

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