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STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. P( X SI) = [ p (t) de .00 02 .03

STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. P( X SI) = [ p (t) de .00 02 .03 .04 .05 .06 07 08 .09 X ~ N(0, 1) -3.9 00005 00004 00004 00004 00004 00004 00004 00003 00003 Z score Table 00007 00007 00007 00006 00006 00006 00006 00005 .00005 -3.7 0001 1 00010 .00010 00010 00009 00009 00008 00008 00008 00008 -3.6 00016 .00015 00015 00014 -00014 .00013 .00013 .00012 .00012 00011 -3.5 .00023 .00022 00022 00021 00020 00019 00019 81000 41000 00017 -3.4 .00034 .00032 .00031 .00030 .00029 .00028 .00027 .00026 .00025 .00024 -3.3 00048 .00047 .00045 .00043 .00042 .00040 00039 .00038 00036 .00035 -3.2 .00069 .00066 00064 .00062 00060 .00058 00056 .00054 00052 .00050 00097 .00094 .00090 .00087 00084 .00082 00079 .00076 00074 .00071 .00135 00131 .00126 00122 001 18 00114 .001 11 00107 00104 00100 -2.9 .00187 00181 0017 00169 00164 00159 00154 00149 00144 00139 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 00256 00248 00240 00233 00226 .00219 .00212 .00205 00199 00193 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 -2.7 00347 00336 00326 00317 00307 00298 00289 00280 00272 00264 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 -2.6 00466 00453 00440 .00427 00415 00402 .00391 .00379 00368 00357 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 00570 00554 00539 00523 00508 0049 00480 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 -2.5 .0062 00604 00587 00820 .00798 .00776 00755 00734 -00714 0069 00676 .00657 .00639 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 -2.4 01044 00990 00964 .00939 .00914 .00889 00866 00842 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 -2.3 01072 01017 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 -2.2 .01390 .01355 .01321 .01287 01255 .01222 01191 01 160 01130 .01 101 0.6 0.7257 0.7291 0.7324 0.7357 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 -2.1 01786 .01743 .01700 .01659 01618 .01578 01539 .01500 01463 01426 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 -2.0 02275 02222 02169 021 18 02068 02018 01970 01923 01876 01831 0.8 02330 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 -1.9 02872 .02807 02743 02680 02619 02559 02500 02442 02385 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 .03593 .03515 .03438 .03362 .03288 .03216 03144 .03074 03005 .02938 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 -1.7 .04457 .04363 .04272 -04182 04093 .04006 03920 .03836 03754 .03673 1.1 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 -1.6 .05480 .05370 .05262 .05155 .05050 .04947 .04846 04746 04648 .04551 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 -1.5 .06681 .06552 .06426 06301 .06178 06057 05938 05821 05705 .05592 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 -1.4 08076 07927 07780 07636 07493 07353 07215 07078 .06944 .06811 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 -1.3 09680 .09510 09342 09176 .09012 08851 08691 .08534 .08379 08226 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 -1.2 .1 1507 .11314 .11123 .10935 .10749 .10565 .10383 .10204 .10027 .09853 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 -1.1 .13567 .13350 13136 -12924 .12714 -12507 .12302 .12100 .1 1900 .11702 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 -1.0 15866 15625 15386 15151 14917 14686 14457 14231 14007 13786 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 18406 18141 17879 17619 17361 17106 16853 16602 .16354 16109 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 .21 186 .20897 .2061 1 .20327 .20045 .19766 19489 .19215 .18943 .18673 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 .24196 .23885 .23576 .23270 .22965 22663 22363 .22065 .21770 .21476 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 -0.7 -0.6 .27425 .27093 .26763 .26435 .26109 .25785 25463 .25143 .24825 .24510 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 -0.5 .30854 3050 30153 29806 29460 29116 28774 .28434 28096 27760 2.4 0.9918 0.9920 0.9922 0.9925 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 -0.4 34458 34090 33724 .33360 32997 32636 32276 .31918 31561 .31207 2.5 0.9938 0.9940 0.9941 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 -0.3 .38209 37828 .37448 .37070 36693 36317 .35942 35569 .35197 34827 2.6 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 -0.2 .42074 .41683 41294 40905 40517 -40129 39743 39358 .38974 38591 2.7 0.9965 0.9966 0.9967 0.9968 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 -0.1 .46017 .45620 45224 -44828 44433 -44038 .43644 43251 .42858 .42465 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 49601 49202 48803 48405 48006 47608 47210 46812 .46414 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 Let's consider a normal distribution whose mean is 9 and standard deviation 4. Use the Table to calculate: P(x1.27)=STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. .01 .04 P(X SI) = (t)de Z .00 .02 .03 .05 .06 .07 .08 .09 X ~ N(0, 1) -3.9 .00005 .00005 .00004 00004 .00004 .00004 .00004 00004 .00003 .00003 Z score Table -3.8 .00007 .00007 00007 00006 .00006 .00006 .00006 .00005 OOO05 -3.7 0001 1 .00010 00010 .00010 00009 .00009 00008 .00008 00008 .00008 .00016 .00015 .00015 .00014 .00014 -00013 .00013 .00012 .00012 .00011 -3.5 00023 00022 00022 00021 00020 00019 61000 00018 41000 00017 .00034 00032 0003 00030 00029 00028 00027 00026 00025 00024 00048 .00047 00045 .00043 .00042 .00040 00039 .00038 00036 .00035 -3.2 00069 00066 00064 00062 00060 00058 .00056 00054 00052 00050 -3.1 00097 00094 00090 00087 00084 00082 .00079 00076 00074 .00071 -3.0 00135 .00131 00126 00122 001 18 .00114 .001 11 00107 00104 00100 -2.9 00187 00181 .00175 .00169 00164 .00159 .00154 .00149 .00144 00139 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 -2.8 .00256 00248 .00240 .00233 00226 .00219 00212 00205 00199 00193 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 -2.7 .00347 00336 00326 00317 .00307 00298 .00289 00280 00272 00264 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 -2.6 .00466 .00453 00440 .00427 00415 .00402 00391 .00379 00368 .00357 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 -2.5 00621 00604 00587 .00570 00554 00539 00523 00508 00494 00480 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 00820 00798 .00776 00755 .00734 .00714 00695 .00676 00657 .00639 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 .01072 .01044 .01017 .00990 .00964 .00939 .00914 .00889 00866 .00842 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 -2.2 .01390 .01355 .01321 .01287 01255 01222 .01191 .01 160 01130 .01 101 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 -2.1 .01786 .01743 .01700 01659 .01618 .01578 01539 .01500 .01463 01426 0.8051 0.8078 0.8106 0.8133 -2.0 02275 02222 02169 021 18 02068 02018 01970 01923 01876 .01831 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 -1.9 02872 02807 02743 02680 02619 02559 02500 02442 .02385 .02330 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 -1.8 03593 .03515 .03438 03362 .03288 .03216 03144 03074 .03005 .02938 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 -1.7 04457 .04363 .04272 04182 .04093 .04006 03920 03836 .03754 03673 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 -1.6 .05480 .05370 .05262 .05155 05050 .04947 .04846 .04746 .04648 .04551 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 06681 06552 06426 06301 06178 06057 05938 05821 05705 05592 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 -1.4 08076 07927 07780 07636 07493 .07353 .07215 .07078 06944 .06811 1.5 0.9332 0.9345 0.9357 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 -1.3 .09680 .09510 .09342 09176 .09012 .08851 08691 .08534 08379 .08226 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 -1.2 .11507 .11314 .11123 .10935 10749 .10565 10383 10204 10027 09853 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 -1.1 .13567 .13350 .13136 12924 12714 .12507 .12302 .12100 1 1900 11702 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9706 -1.0 15866 15625 15386 15151 14917 14686 14457 14231 14007 13786 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 -0.9 18406 18141 17879 .17619 17361 -17106 16853 16602 16354 16109 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 -0.8 .21 186 .20897 .2061 1 .20327 .20045 .19766 .19489 .19215 .18943 .18673 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 -0.7 .24196 23885 .23576 .23270 .22965 .22663 .22363 .22065 .21770 .21476 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 -0.6 .27425 .27093 .26763 .26435 .26109 25785 .25463 .25143 .24825 .24510 2.3 |0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 -0.5 .30854 30503 30153 29806 29460 29116 28774 .28434 28096 27760 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 -0.4 34458 34090 .33724 33360 .32997 32636 32276 .31918 .31561 .31207 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 .38209 .37828 .36693 36317 .35942 .35569 .35197 .34827 2.6 |0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 .37448 37070 .38974 .38591 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 .42074 .41683 .41294 40905 .40517 .40129 .39743 .39358 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 -0.1 .46017 45620 .45224 .44828 44433 44038 .43644 .43251 .42858 .42465 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 -49601 .49202 48803 48405 48006 47608 47210 46812 46414 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 From the Table, calculate: P(1.52

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