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The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate chips? (c) What proportion of bags containg more than 1000

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate chips? (c) What proportion of bags containg more than 1000

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 15E: Describe the standard normal distribution. What are its characteristics?
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Solve A) to 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 .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 .08 .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 .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 .08 .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
The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1025 chocolate chips? Click the icon to view a table of areas under the normal curve (a) The probability that a randomly selected bag contains between 1000 and 1500 chocolate chips is (Round to four decimal places as needed.)
Transcribed Image Text:The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1025 chocolate chips? Click the icon to view a table of areas under the normal curve (a) The probability that a randomly selected bag contains between 1000 and 1500 chocolate chips is (Round to four decimal places as needed.)
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