A manufacturing process produces aluminum rods used in the assembly of baby strollers by "Stollers R'Us".

The length of this aluminum rod is specified to be 2113 mm. Due to random error which is normally distributed with mean zero and

standard deviation 12.4, the length of a rod, X, is random Suppose that "Strollers R'Us" cannot use and therefore will return

all rods whose length is either less than or more than 20.50 mm from the specified length. What is the expected proportion of rods that will be returned? Enter the number in decimal form below. For example, if the answer is 35.67%, enter 0.3567 below.

You must use the Z table below to answer the question. (You do not have to use interpolation.)

You must use the Z table below to answer the question. (You do not have to use interpolation.) .00 .01 .02 .03 .04 05 .06 07 .08 09 .3.4 .0003 0003 0003 0003 3.3 0005 0003 .0003 0005 .0003 0005 -3.2 0004 0003 .0003 0004 0002 .0007 0004 -0007 .0004 0006 0004 -3.1 .0006 .0004 .0006 .0010 0006 0003 .0009 .0006 .0009 0005 3.0 .0009 .0005 .0008 .0005 .0013 0013 .0008 0013 .0008 .0008 .0007 2.9 0012 0012 .0019 0011 0007 0018 0018 0011 0011 0017 .0010 -2.8 .0016 0010 0026 0016 0025 0015 .0015 0014 -2.7 0024 0023 .0035 0023 0014 0022 0034 .0021 0021 .0019 -2.6 0033 .0032 0020 0031 .0047 .0030 .0045 .0029 .0044 0028 0027 .0026 -2.5 .0043 .0041 .0062 .0040 0060 .0039 0059 -2.4 0057 .0038 .0037 .0055 0054 -0036 .0082 .0052 0080 0078 0051 0075 .0049 -2.3 .0107 .0073 0048 0071 .0104 .0069 0102 0068 -2.2 0099 0066 0139 0096 0094 .0064 .0091 .0089 0087 0084 -2.1 0136 0132 0129 0179 0125 0174 0122 0170 0119 .0166 0116 0113 0162 0110 .0228 0158 .0222 0217 .0154 0150 .0212 .0146 .0207 0202 0143 1. .0287 -0281 .0197 0274 .0268 .0192 .0188 .0262 .0183 .0359 0256 0351 0250 .0239 1.7 0344 .0244 0336 .0233 .0446 .0329 0436 .0322 .0314 .0301 -1.6 0427 .0418 .0307 0409 .0548 .0401 .0294 .0537 0526 .0392 .0384 .0505 0375 :0495 .0367 -1.5 .0516 .0668 .0655 .0485 0643 0475 .0465 .0455 -1.4 .0630 .0808 .0618 0793 .0606 0778 .0594 .0582 0764 .0749 -0571 .0559 -1.3 .0968 .0735 0951 .0721 0934 .0708 0918 .0694 0681 -1.2 .1151 .0901 0885 .1131 .1112 .0869 .1093 0853 0838 .1075 0823 -1.1 .1357 1335 .1056 .1038 -1020 .1003 -1.0 -1314 .1292 .1587 .1271 1562 .1251 .0985 1539 .1230 0.9 1515 .1210 1492 .1190 1170 .1841 1469 -1814 .1446 .1423 .1401 .1379 -0.8 1788 .1762 .21 19 1736 -2090 1711 -2061 -1685 .2033 1660 -1635 .1977 .1611 0.7 .2005 .2420 -2389 .1949 -2358 .2327 .1922 -1894 0.6 .2296 .2266 .1867 -2743 -2709 -2236 -2676 -2643 .2206 .2611 -2177 .2148 -0.5 .3085 .3050 .2578 .2546 -0.4 .3015 2981 .2514 .2483 .2912 .2451 .3446 .2946 -3409 -3372 .2877 .2843 .2810 -0.3 .3336 .3821 .3300 -3783 .3264 .2776 3745 -3228 -3192 -0.2 3707 .3669 -3156 .3121 4207 .3632 4168 .3594 4129 .3557 4090 3520 0.1 .4602 4052 .3483 .4562 4013 4522 .3974 3936 4443 3897 .3859 -0.0 4483 .5000 .4404 -4960 .4364 -4920 .4325 -4880 -4286 .4840 4247 .4801 .4761 -4721 -4681 4641