Use Table A to find the value z of a standard Normal variable that satisfies each of the given conditions. (Use the value of z from Table A that comes closest to satisfying the condition.) In each case, sketch a standard Normal curve with your value of z marked on the axis. Find the point z with 12% of the observations falling below it. Give your answer to two decimal places. Z= TABLE A Standard Normal cumulative proportions .04 .0003 .0004 .0006 .0008 .0012 -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 -13 -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 .00 .0003 .0005 .0007 .0010 0013 .0019 .0026 0035 0082 0107 0139 0179 0228 0047 .0045 .0044 0062 0060 .0059 0287 .0359 .0446 0548 .0668 0808 .0968 1151 1357 1587 1841 2119 2420 2743 3085 .01 .02 .0003 .0003 .0005 .0005 .0007 0006 .0009 .0009 0013 .0013 .3446 3821 4207 4602 5000 .0018 0025 0034 .0080 0104 0136 0174 0222 0281 0351 0436 0537 0655 .0793 0951 1131 1335 1562 1814 2090 2389 2709 3050 3409 3783 4168 .0018 0024 0033 4562 4960 .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 .0073 .0099 .0096 0125 0162 .0207 0129 .0166 0212 .0268 0336 0418 .0516 .0630 .0764 0918 .1093 .1292 1515 1762 2033 2327 2643 .2981 3336 3707 4090 4483 4880 .0016 .0016 .0023 .0022 .0031 .0030 .0041 .0055 .0262 0329 0409 0505 0618 1736 2005 .2296 2611 2946 .05 .0003 .0004 .0006 3300 3669 4052 .0008 .0011 4443 4840 .0040 .0054 .0749 .0735 .0901 0885 1075 1056 1271 1492 .0071 .0094 0122 .0158 .0202 0256 0322 0401 .0495 .0606 1251 .1469 1711 1977 2266 2578 2912 3264 3632 4013 4404 4801 .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 .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