Steel rods are manufactured with a mean length of 20 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. Click the icon to view a table of areas under the normal curve (a) What proportion of rods has a length less than 19.9 cm? 0764 (Round to four decimal places as needed.) (b) Any rods that are shorter than 19.84 cm or longer than 20.16 cm are discarded. What proportion of rods will be discarded? 9780 (Round to four decimal places as needed.)

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Solve for D)

Tables of Areas under the Normal Curve
0
Area
TABLE V
3.3
733 77777 9337 32233 99
.00
01
81000
Standard Normal Distribution
.02 .03 .04
.05
DSC00
.06
.08
.07
0.0002
0.0003
0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003
0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004
0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005
0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007
0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010
0.0019
0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014
0.0026 0.0025 0.0024 0.0023 0.0025 0.0022 0.0021 0.0021 0.0020
0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0,0029 0.0028 0.0027
0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037
0.0062 0.0060 D.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049
0.0032
0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064
0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087
0.0084
0.0139 0.0136 0.0132 0.0129
0.0125
0.0122 0.0119 0.0116 0.0113 0.0110
0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 08146 0.0143
00228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188
0.0287 0.0281
0.0359 00351
0.0446 0.0436
0.0548 0.0537
0.0668 0.0655
0.0808 0.0793
0.0968 0.0951
0.1151 0.1131
0.1357 0.1335
0.1587 0.1562
0.1841 0.1814
0.2119 0.2090
0.0183
.09
0.0014
0.0019
0.0026
0.0036
0.0048
0.0274 0,0268 0.0262 0.0256 0,0250 0.0244 0.0239
0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301
0.0127 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375
0.0526 10.0516 0.0505 0.0495 0.0485 0.0475 0.0465
0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571
0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823
01112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190
0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401
0.1788 0.1762 0.1756 0.1711
0.2061 02033 10.2005 0.1977
0.1170
0.1379
0.0233
0.0294
0.0367
0.0455
0.0559
0.1685 0.1660 0.1635 0.1611
0.1949 0.1922 0.1894 0.1867
Transcribed Image Text:Tables of Areas under the Normal Curve 0 Area TABLE V 3.3 733 77777 9337 32233 99 .00 01 81000 Standard Normal Distribution .02 .03 .04 .05 DSC00 .06 .08 .07 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0019 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0026 0.0025 0.0024 0.0023 0.0025 0.0022 0.0021 0.0021 0.0020 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0,0029 0.0028 0.0027 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0062 0.0060 D.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0032 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 08146 0.0143 00228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0287 0.0281 0.0359 00351 0.0446 0.0436 0.0548 0.0537 0.0668 0.0655 0.0808 0.0793 0.0968 0.0951 0.1151 0.1131 0.1357 0.1335 0.1587 0.1562 0.1841 0.1814 0.2119 0.2090 0.0183 .09 0.0014 0.0019 0.0026 0.0036 0.0048 0.0274 0,0268 0.0262 0.0256 0,0250 0.0244 0.0239 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0127 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0526 10.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 01112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1788 0.1762 0.1756 0.1711 0.2061 02033 10.2005 0.1977 0.1170 0.1379 0.0233 0.0294 0.0367 0.0455 0.0559 0.1685 0.1660 0.1635 0.1611 0.1949 0.1922 0.1894 0.1867
Steel rods are manufactured with a mean length of 20 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard
deviation of 0.07 cm.
Click the icon to view a table of areas under the normal curve
***
(a) What proportion of rods has a length less than 19.9 cm?
0764 (Round to four decimal places as needed.)
(b) Any rods that are shorter than 19.84 cm or longer than 20.16 cm are discarded What proportion of rods will be discarded?
9780 (Round to four decimal places as needed.)
Transcribed Image Text:Steel rods are manufactured with a mean length of 20 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. Click the icon to view a table of areas under the normal curve *** (a) What proportion of rods has a length less than 19.9 cm? 0764 (Round to four decimal places as needed.) (b) Any rods that are shorter than 19.84 cm or longer than 20.16 cm are discarded What proportion of rods will be discarded? 9780 (Round to four decimal places as needed.)
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