The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 307 days or longer. b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. X Standard Normal Table (Page 1) a. The probability that a pregnancy will last 307 days or longer is 0.0038 (Round to four decimal places as needed.) Standard Normal (2) Distribution: Cumulative Area from the LEFT .00 b. Babies who are born on or before | days are considered premature. .01 .02 .03 .04 .05 .06 .07 .08 .09 (Round to the nearest integer as needed. -3.50 and lower .0001 -3.4 9003 .0003 .0003 .0903 .0003 .0003 .0003 .0003 0002 -3.3 .0005 .0005 .0005 .0004 -0004 .0004 .0004 .0004 .0004 ,0003 -32 ooo 0007 0006 .0006 0006 .0006 ooo DOO 0005 -3.1 o010 DOOS 0009 .DO09 0008 DO08 0008 .0008 0007 0007 -3.0 .0013 0013 Do13 .DO12 .0012 .0on1 .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 -2.7 0035 0034 0033 0032 003 0030 .0029 .0028 027 0026 -2.6 004 DO45 0044 104 0041 DO40 0039 003 0037 0036 1062 0060 .0059 0057 0055 0054 0052 .0051 .0049 0048 -2.4 008 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 _0119 0116 113 0110 -2.1 0179 174 0170 0166 0162 0158 0124 0150 .0146 0143 -2.0 .0228 0222 0217 0212 0207 0202 .0197 .0192 0188 .0183 -1.9 0287 0281 0274 .0268 0262 0256 0250 0244 0239 .0233 -1.8 .0359 0351 0344 .0336 0329 0322 .0314 030 .0301 .0294 -1.7 044 0436 0427 .0418 .0409 0401 .0392 038 0375 0367 -1.6 0548 0537 0526 0516 0505 .0495 0485 047 046 0459 -1.5 668 0643 .0630 .0618 .0606 .0594 .0582 0571 0559 -1.4 0808 0793 0778 0764 0749 0735 .0721 .0708 0694 0681 -1.3 .0968 0951 .0934 .0918 0901 0885 .0869 085 0838 .0823 -1.2 .7151 1131 1712 1093 1075 1056 1038 .1020 1003 0985 -1.1 1357 1335 1314 1292 1271 1251 1230 1210 1190 7170 -1.0 1587 1562 .1539 1515 1492 1469 1446 1423 1401 .1379 -0.9 1841 1814 1788 1762 1736 1711 1685 .1660 1635 1617 -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 3156 3121 -0.3 .3821 .3783 .3745 3707 3669 3632 3594 .3557 3520 ,3483 -0.2 .420 4168 4129 4090 4052 4013 3974 .3936 3897 3859 -0.1 .4602 4562 .4522 4483 4443 .4404 4364 .4325 .4286 .4247 -O.C .5000 .4960 .4920 .4880 .4840 .4801 4761 .4721 4681 .4641\f
