Answer Happy

The IQs of 750 applicants to a certain college are approximately normally distributed with a mean of 119 and a standard deviation of 12. If the college requires an IQ of at least 97, how many of these students will be rejected on this basis of IQ, regardless of their other qualifications? Note that IQs are recorded to the nearest integers Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table - X Х student(s) Standard normal distribution table (page 2) Standard normal distribution table (page 1) (Round to the nearest whole number as needed.) .05 0.5199 0,5596 0.5987 0.6368 0.6736 0.7088 ,03 0.0003 0.0004 .04 0.0003 0.0004 0.0006 0.0006 .05 0.0003 0.0004 0.0006 0.0008 0.0011 0.0016 0.0022 0.7422 0.7549 .06 0.0003 0.0004 0.0006 0.0008 0.0011 0.0015 0.0021 0.0029 0.0039 0.0052 0.0069 0.0091 .07 0.0003 0.0004 0.0005 0.0008 0.0011 0.0015 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 08 0.0003 0.0004 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0019 0.0030 0.8686 0.8790 0.8830 0.0119 0.0116 0.9452 Areas under the Normal Curve .00 .01 .02 .03 ,04 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.1 0.5398 0,5438 0.5478 0,5517 0.5557 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.8 0.7881 0.7910 0.7939 0.7967 0.7996 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 1.1 0.8643 0.8665 0.8708 0.8729 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 1.6 0.9463 0.9474 0.9484 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 2.3 0.9893 0.9896 0.9898 0.9901 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 2.7 0.9966 0.9966 0.9967 0.9968 0.9969 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 2 .00 .01 .02 .03 .04 0.9495 0.7734 0.8023 0.8289 0.8531 0.8749 0.8944 0.9115 0.9265 0.9394 0.9505 0.9599 0.9678 0.9744 0.9798 0.9842 0.9878 0.9906 0.9920 0.9946 0.9960 0.9970 0.9978 0.9984 0.9989 0.9992 0.9991 0.9996 0.9997 .05 .06 .07 0.5239 0.5279 0.5636 0.5675 0.6026 0.6064 0.6406 0.6143 0.6772 0.6808 0.7123 0.7157 0.745 0.7486 0.7766 0.7794 0.8051 0.8078 0.8315 0.8340 0.8554 0.8577 0.8770 0.8962 0.8980 0.9131 0.9147 0.9279 0.9292 0.9406 0.9418 0.9515 0.9525 0.9608 0.9616 0.9686 0.9693 0.9750 0.9756 0.9803 0.9808 0.9846 0.9850 0.9881 0.9884 0.9909 0.9911 0.9931 0.9932 0.9918 0.9949 0.9961 0.9962 0.9971 0.9972 0.9979 0.9979 0.9985 0.9985 0.9989 0.9989 0.9992 0.9992 0.9994 0.9995 0.9996 0.9996 0.9997 0.9997 .06 .07 .08 .09 0.5319 0.5359 0,5714 0.5753 0.6103 0.6141 0.6480 0.6517 0.6844 0.6879 0.7190 0.7224 0.7517 0.7823 0.7852 0.8106 0.8133 0.8365 0.8389 0.8599 0.8621 0.8810 0.8997 0.9015 0.9162 0.9177 0.9306 0.9319 0.9429 0.9441 0.9535 0.9546 0.9625 0.9633 0.9699 0.9706 0.9761 0.9767 0.9812 0.9817 0.9854 0.9857 0.9887 0.9890 0.9913 0.9916 0.9934 0.9936 0.9951 0.9952 0.9963 0.9964 0.9973 0.9974 0.9980 0.9981 0.9986 0.9986 0.9990 0.9990 0.9093 0.9993 0.9995 0.9995 0.9996 0.9997 0.9998 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 3.4 Areas under the Normal Curve .00 .01 .02 -3.4 0.0003 0.0003 0.0003 -33 0.0005 0.0005 0.0005 -3.2 0.0007 0.0007 0.0006 -3.1 0.0010 0.0000 0.0009 -3.0 0.0013 0.0013 0.0013 -2.9 0.0019 0.0018 0.0018 - 2.8 0.0020 0.0028 0.0024 -2.7 0.0035 0.0034 0.0033 -2.6 0.0047 0.0045 0.0044 -2.5 0.0062 0.0060 0.0059 -2.4 0.0082 0.0080 0.0078 -2.3 0.0107 0.0104 0.0102 -2.2 0.0139 0.0136 0.0132 -2.1 0.0179 0.0174 0.0170 -2.0 0.0228 0.0222 0.0217 -1.9 0.0287 0.0281 0.0274 -1.8 0.0350 0.0351 0.0314 -1.7 0.0446 0.0436 0.0427 -1.6 0.0548 0.0537 0.0526 -1.5 0.0643 -1.4 0.0808 0.0793 0.0778 -1.3 0.0968 0.0951 0.0934 -1.2 0.1151 0.1131 0.1112 -1.1 0.1357 0.1335 0.1314 -1.0 0.1587 0.1562 -0.9 0.1841 0.1814 0.1788 -0.8 0.2119 0.2090 0.2061 -0.7 0.2420 0.2389 0.2358 -0.6 0.2743 0.2709 0.2676 -0.5 0.3095 0.3050 0.3015 -0.4 0.3446 0.3409 0.3372 -0.3 0.3821 0.3783 -0.2 0.4207 0.4168 0.4129 -0.1 0.4602 0.4562 0.4522 -0.0 0.5000 0.4960 0.4920 .00 .01 .02 0.0009 0.0012 0.0017 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0418 0.0516 0.0630 0.0764 0.0918 0.1093 0.1292 0.1515 0.1762 0.2033 0.2327 0.2643 0.2981 0.3336 0.3707 0.4090 0.4483 0.0008 0.0012 0.0016 0.0023 0.0031 0.0041 0.0055 0.0073 0.0096 0.0125 0.0162 0.0207 0.0262 0.0329 0.0409 0.0505 0.0618 0.0749 0.0901 0.1075 0.1271 0.1492 0.1736 0.2005 0.220€ 0.2611 0.2946 0.3300 0.3669 0.4052 0.4443 0.4840 .04 0.0154 0.0197 0.0250 0.0314 0.0392 0.0485 0.0594 0.0721 0.0869 0.1038 0.1230 0.0605 0.0040 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.0256 0.0322 0.0401 0.0495 0.0606 0,0735 0.0885 0.1056 0.1251 0.1469 0.1711 0.1977 0.2266 0.2578 0.2912 0.3264 0.0655 .09 0.0002 -3.4 0.0003 -3.3 0.0005 -3.2 0.0007 -3.1 0.0010 -3.0 0.0014 -2.9 0.0019 -2.8 0.0026 -2.7 0.0036 -2.6 0.0018 -2.5 0.0064 -2.4 0.0084 -2.3 0.0110 -2.2 0.0143 -2.1 0.0183 -2.0 0.0233 -1.9 0.0294 -1.8 0.0367 -1.7 0.0455 -1.6 0.0559 -1.5 0.0681 -1.4 0.0823 -1.3 0.0987 -1.2 0.1170 -1.1 0.1379 -1.0 0.1611 -0.9 0.1867 -0.8 0.2148 -0.7 0.2451 -0.6 0.2776 -0.5 0.3121 -0.4 0.3483 -0.3 0.3859 -0.2 0.4247 -0.1 0.4641 -0.0 .09 0.9904 0.0066 0.0087 0.0113 0.0146 0.0188 0.0239 0.0301 0.0378 0.0465 0.0571 0.0694 0.0838 0.1003 0.1190 0.1401 0.1635 0.1894 0.2177 0.2483 0.2810 0.3156 0.3520 0.3897 0.4286 0.0150 0.0192 0.0244 0.0307 0.0384 0.0475 0.0582 0.0708 0.0853 0.1020 0.1210 0.1423 0.1660 0.1922 0.2206 0.2514 0.2843 0.3192 0.3557 0.3936 0.4325 0.4721 .07 0.1539 0.1446 0.1685 0.1949 0.2236 0.2546 0.2877 0.3228 0.9997 0.3745 0.3632 0.3594 .08 .09 0.4013 0.4404 0.4801 .05 0.3974 0.436 0.4761 .06 0.4890 0.4681 .03 .08