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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 1100 and 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1000 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 1100 and 1400 chocolate chips is. (Round to four decimal places as needed.)

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 1100 and 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1000 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 1100 and 1400 chocolate chips is. (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Part a,b
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 1100 and 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1000 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 1100 and 1400 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 1100 and 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1000 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 1100 and 1400 chocolate chips is (Round to four decimal places as needed.)
TABLE V Standard Normal Distribution .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 Area 0.0003 0.0005 0.0004 -34 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0004 0.0003 0.0002 -3.3 -3.2 -3.1 -3.0 0.0005 0.0005 0.0007 0.0007 0.0004 0.0006 0.0008 0.0011 0.0004 0.0006 0.0004 0.0004 0.0003 0.0005 0.0006 0.0009 0.0013 0.0006 0.0006 0.0005 0.0005 0.0010 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0010 0.0010 -29 -2.8 -2.7 0.0018 0.0024 0.0033 0.0019 0.0018 0.0017 0.0016 0.0016 0.0022 0.0015 0.0015 0.0014 0.0014 0.0019 0.0026 0.0025 0.0021 0.0029 0.0026 0.0023 0.0032 0.0023 0.0031 0.0021 0.0020 0.0028 0.0027 0.0035 0.0034 0.0030 0.0047 0,0045 0.0062 0.0060 0.0038 0.0037 0.0051 0.0049 -2.6 0.0044 0.0059 0.0043 0.0057 0.0041 0.0040 0.0039 0.0036 -2.5 0.0055 0.0054 0.0052 0.0048 0.0075 0.0099 0.0132 0.0129 0.0064 0.0084 0.0110 0.0143 0.0183 -24 0.0082 0.0080 0.0107 0.0139 0.0136 0.0078 0.0073 0.0071 0.0069 0.0068 0,0066 0.0089 -2.3 -2.2 0,0104 0.0102 0.0091 0.0119 0.0087 0,0116 0.0113 0.0096 0.0094 0.0125 0.0122 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0281 0,0351 0.0436 -19 0.0287 0.0359 0.0274 0.0344 0.0427 0.0526 0.0268 0.0262 0.0256 0.0329 0.0322 0.0401 0.0495 0.0250 0.0244 0.0307 0.0384 0.0475 0.0239 0.0233 -1.8 -1.7 -1.6 0.0336 0.0418 0.0314 0.0392 0.0485 0,0301 0.0375 0,0294 0.0367 0.0446 0.0409 0.0465 0.0571 0.0548 0,0537 0.0516 0.0505 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0559 0.0808 0.0968 0.1151 0.1131 0.1357 0.1335 0.1314 0.1587 0.1562 0.0749 0.0901 0.1075 0.1271 0.1492 0.0721 0,0869 0,1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.0793 0.0778 0.0934 0.0764 0.0735 0.0885 0.1056 0.1251 0.0694 0.0681 -14 -1.3 0.0951 0.0838 0.0823 0.0918 0.1093 -1.2 -11 0.1112 0.1003 0.1292 0.1539 0.1515 0.0985 0.1190 0.1170 0.1401 -1.0 0.1469 0.1423 0.1379 0.1814 0.1685 0.1660 0.1949 0.1922 0.1635 0.1611 0.1894 0.1867 02177 -0.9 0.1841 0.2119 0.2090 0.2420 0.1788 0.1762 0.1736 0.2005 0.1711 0.1977 -08 0.2061 0.2033 0.2358 0.2389 0.2709 02327 -0,7 -0.6 0.2296 0.2611 0.2266 0.2578 0.2236 0.2546 0.2206 0.2514 0.2843 0.2148 0.2451 0.2776 0.2743 0.2676 02643 0.2483 0.2810 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.3372 03745 0.4129 0.4522 0.4483 0.4920 0.5080 0.5478 0.5517 -0.4 -0.3 0.3446 0.3409 0.3821 0.3783 0.4207 0.4168 0,4602 0.4562 0.5000 0.4960 0.5000 0.5040 0.5398 0.5438 0.3300 0.3264 0.3707 0.3669 0.3632 0.3594 0.3336 0.3228 0.3192 0.3156 0.3121 0.3483 03557 0.3520 0.3897 0.3936 0.4325 0.4286 -0.2 0.4052 0.4013 0.4443 0.4404 0.4801 0.5199 0.5239 0.5596 0.3974 0.4364 0.3859 0.4247 0.4090 0.4880 05120 0.4840 0.5160 0.4761 0.4681 0.5279 05319 05714 0.6103 0.6443 0.6480 0.6517 0.6844 -0.0 0.4721 0.4641 0.5359 0.5753 0.6141 00 0.1 0.557 0.5636 0.5675 0.5832 0.6179 0.6217 0.6554 0.6026 0.6406 0.6772 0.5793 0.5871 0.6255 0.6628 0.5987 0.6368 0.6700 0.6736 0.2 0.5910 0.5948 0.6064 0.3 0.4 06293 0.6664 0.6331 0,6591 0.6808 0.6879 0,7123 0.7157 0.7190 0.5 0.6 0.6915 0.6950 0.7257 0.7019 0.7324 0.7357 0.7642 0.7673 0.7939 0.7967 0.8212 0.8238 0.8264 0.7054 0.7088 0.7389 0.7224 0.7549 0.6985 0.7291 0.7422 0.7454 0.7486 0.7517 0.7580 0.7611 0.7881 0.7794 0.782 0.8078 0.7 0.7704 0.7734 0.7764 0.7852 0.8 0.9 0.7910 0.8159 0.8186 0.8023 0.8289 0.8051 0.8315 0.7995 0.8106 0.8365 0.8133 0.8389 0.8340 0,8577 0.8790 0.8621 0.8830 0.9015 10 0.8413 0.8438 0.8643 1.1 1.2 0.8849 0.8461 0.8485 0.8508 08729 0.8925 0.8531 0.8554 0.8599 0.8665 0.8869 0.9049 0.9207 0.8686 0.8888 0.8708 0.8907 0.9082 0.9236 0.8749 0.8770 0.8944 0.9115 0.9265 0.8810 0.8980 0.8997 0.9147 0.9162 0.9292 0.8962 1.3 14 0.9032 0.9066 0.9099 0.9131 0.9177 0.9192 0.9222 0.9251 0.9279 0.9306 0.9319 0.9394 0.9406 0.9505 0.9515 0.9332 0.9345 0.9382 0.9495 0.9591 0.9671 0.9738 0.9418 0.9429 0.9525 0.9535 0.9616 0.9625 0.9441 1.5 1.6 0.9357 0.9370 0.9452 0.9463 0.9564 0.9554 0.9641 0.9649 0.9474 0.9573 0.9656 0.9484 0.9582 0.9664 0.9732 0.9545 0.9633 0.9706 1.7 0.9599 0.9608 18 0.9678 0.9686 0.9693 0.9699 1.9 0.9713 0.9719 0.9726 0.9744 0.9750 0.9756 0.9761 0.9767 0.9793 0.9838 0.9875 0.9803 0.9842 0.9846 0.9881 0.9909 0.9929 0.9931 0.9812 0.9854 0.9887 2.0 0.9783 0.9817 0.9772 0.9821 0.9861 0.9778 0.9788 0.9798 0.9808 2.1 22 0.9826 0.9864 0.9834 0.9871 0.9850 0.9884 0.9857 0.9890 0.9830 0.9868 0.9898 0.9922 0.9878 0.9893 0.9918 0.9904 0.9927 0.9916 0.9936 23 0.9896 0.9901 0.9925 0.9906 0.9911 0.9913 24 0.9920 0.9932 0.9934 0.9938 0.9953 0.9955 0.9965 0.9966 0.9946 0.9959 0.9960 0.9969 25 0.9940 0.9941 0.9943 0.9945 0.9948 0.9949 0.9951 0.9952 2.6 2.7 0.9956 0.9967 0.9962 0.9963 0.9971 0.9972 0.9973 0.9957 0.9961 0,9964 0.9974 0.9968 0.9970 28 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 29 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 3.1 3.2 0.9987 0.9990 0.9991 0.9993 0.9993 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.9991 0.9994 0.9991 0.9994 0.9996 0.9992 0.9994 0.9992 0.9992 0.9994 0.9994 0.9993 0.9995 0.9995 0.9996 0.9993 0.9995 0.9997 0.9992 0.9996 0.9997 0.9996 0.9997 0.9996 0.9996 0.9997 0.9997 33 0.9995 0.9995 0.9995 34 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
Transcribed Image Text:TABLE V Standard Normal Distribution .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 Area 0.0003 0.0005 0.0004 -34 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0004 0.0003 0.0002 -3.3 -3.2 -3.1 -3.0 0.0005 0.0005 0.0007 0.0007 0.0004 0.0006 0.0008 0.0011 0.0004 0.0006 0.0004 0.0004 0.0003 0.0005 0.0006 0.0009 0.0013 0.0006 0.0006 0.0005 0.0005 0.0010 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0010 0.0010 -29 -2.8 -2.7 0.0018 0.0024 0.0033 0.0019 0.0018 0.0017 0.0016 0.0016 0.0022 0.0015 0.0015 0.0014 0.0014 0.0019 0.0026 0.0025 0.0021 0.0029 0.0026 0.0023 0.0032 0.0023 0.0031 0.0021 0.0020 0.0028 0.0027 0.0035 0.0034 0.0030 0.0047 0,0045 0.0062 0.0060 0.0038 0.0037 0.0051 0.0049 -2.6 0.0044 0.0059 0.0043 0.0057 0.0041 0.0040 0.0039 0.0036 -2.5 0.0055 0.0054 0.0052 0.0048 0.0075 0.0099 0.0132 0.0129 0.0064 0.0084 0.0110 0.0143 0.0183 -24 0.0082 0.0080 0.0107 0.0139 0.0136 0.0078 0.0073 0.0071 0.0069 0.0068 0,0066 0.0089 -2.3 -2.2 0,0104 0.0102 0.0091 0.0119 0.0087 0,0116 0.0113 0.0096 0.0094 0.0125 0.0122 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0281 0,0351 0.0436 -19 0.0287 0.0359 0.0274 0.0344 0.0427 0.0526 0.0268 0.0262 0.0256 0.0329 0.0322 0.0401 0.0495 0.0250 0.0244 0.0307 0.0384 0.0475 0.0239 0.0233 -1.8 -1.7 -1.6 0.0336 0.0418 0.0314 0.0392 0.0485 0,0301 0.0375 0,0294 0.0367 0.0446 0.0409 0.0465 0.0571 0.0548 0,0537 0.0516 0.0505 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0559 0.0808 0.0968 0.1151 0.1131 0.1357 0.1335 0.1314 0.1587 0.1562 0.0749 0.0901 0.1075 0.1271 0.1492 0.0721 0,0869 0,1038 0.1230 0.1446 0.0708 0.0853 0.1020 0.1210 0.0793 0.0778 0.0934 0.0764 0.0735 0.0885 0.1056 0.1251 0.0694 0.0681 -14 -1.3 0.0951 0.0838 0.0823 0.0918 0.1093 -1.2 -11 0.1112 0.1003 0.1292 0.1539 0.1515 0.0985 0.1190 0.1170 0.1401 -1.0 0.1469 0.1423 0.1379 0.1814 0.1685 0.1660 0.1949 0.1922 0.1635 0.1611 0.1894 0.1867 02177 -0.9 0.1841 0.2119 0.2090 0.2420 0.1788 0.1762 0.1736 0.2005 0.1711 0.1977 -08 0.2061 0.2033 0.2358 0.2389 0.2709 02327 -0,7 -0.6 0.2296 0.2611 0.2266 0.2578 0.2236 0.2546 0.2206 0.2514 0.2843 0.2148 0.2451 0.2776 0.2743 0.2676 02643 0.2483 0.2810 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.3372 03745 0.4129 0.4522 0.4483 0.4920 0.5080 0.5478 0.5517 -0.4 -0.3 0.3446 0.3409 0.3821 0.3783 0.4207 0.4168 0,4602 0.4562 0.5000 0.4960 0.5000 0.5040 0.5398 0.5438 0.3300 0.3264 0.3707 0.3669 0.3632 0.3594 0.3336 0.3228 0.3192 0.3156 0.3121 0.3483 03557 0.3520 0.3897 0.3936 0.4325 0.4286 -0.2 0.4052 0.4013 0.4443 0.4404 0.4801 0.5199 0.5239 0.5596 0.3974 0.4364 0.3859 0.4247 0.4090 0.4880 05120 0.4840 0.5160 0.4761 0.4681 0.5279 05319 05714 0.6103 0.6443 0.6480 0.6517 0.6844 -0.0 0.4721 0.4641 0.5359 0.5753 0.6141 00 0.1 0.557 0.5636 0.5675 0.5832 0.6179 0.6217 0.6554 0.6026 0.6406 0.6772 0.5793 0.5871 0.6255 0.6628 0.5987 0.6368 0.6700 0.6736 0.2 0.5910 0.5948 0.6064 0.3 0.4 06293 0.6664 0.6331 0,6591 0.6808 0.6879 0,7123 0.7157 0.7190 0.5 0.6 0.6915 0.6950 0.7257 0.7019 0.7324 0.7357 0.7642 0.7673 0.7939 0.7967 0.8212 0.8238 0.8264 0.7054 0.7088 0.7389 0.7224 0.7549 0.6985 0.7291 0.7422 0.7454 0.7486 0.7517 0.7580 0.7611 0.7881 0.7794 0.782 0.8078 0.7 0.7704 0.7734 0.7764 0.7852 0.8 0.9 0.7910 0.8159 0.8186 0.8023 0.8289 0.8051 0.8315 0.7995 0.8106 0.8365 0.8133 0.8389 0.8340 0,8577 0.8790 0.8621 0.8830 0.9015 10 0.8413 0.8438 0.8643 1.1 1.2 0.8849 0.8461 0.8485 0.8508 08729 0.8925 0.8531 0.8554 0.8599 0.8665 0.8869 0.9049 0.9207 0.8686 0.8888 0.8708 0.8907 0.9082 0.9236 0.8749 0.8770 0.8944 0.9115 0.9265 0.8810 0.8980 0.8997 0.9147 0.9162 0.9292 0.8962 1.3 14 0.9032 0.9066 0.9099 0.9131 0.9177 0.9192 0.9222 0.9251 0.9279 0.9306 0.9319 0.9394 0.9406 0.9505 0.9515 0.9332 0.9345 0.9382 0.9495 0.9591 0.9671 0.9738 0.9418 0.9429 0.9525 0.9535 0.9616 0.9625 0.9441 1.5 1.6 0.9357 0.9370 0.9452 0.9463 0.9564 0.9554 0.9641 0.9649 0.9474 0.9573 0.9656 0.9484 0.9582 0.9664 0.9732 0.9545 0.9633 0.9706 1.7 0.9599 0.9608 18 0.9678 0.9686 0.9693 0.9699 1.9 0.9713 0.9719 0.9726 0.9744 0.9750 0.9756 0.9761 0.9767 0.9793 0.9838 0.9875 0.9803 0.9842 0.9846 0.9881 0.9909 0.9929 0.9931 0.9812 0.9854 0.9887 2.0 0.9783 0.9817 0.9772 0.9821 0.9861 0.9778 0.9788 0.9798 0.9808 2.1 22 0.9826 0.9864 0.9834 0.9871 0.9850 0.9884 0.9857 0.9890 0.9830 0.9868 0.9898 0.9922 0.9878 0.9893 0.9918 0.9904 0.9927 0.9916 0.9936 23 0.9896 0.9901 0.9925 0.9906 0.9911 0.9913 24 0.9920 0.9932 0.9934 0.9938 0.9953 0.9955 0.9965 0.9966 0.9946 0.9959 0.9960 0.9969 25 0.9940 0.9941 0.9943 0.9945 0.9948 0.9949 0.9951 0.9952 2.6 2.7 0.9956 0.9967 0.9962 0.9963 0.9971 0.9972 0.9973 0.9957 0.9961 0,9964 0.9974 0.9968 0.9970 28 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 29 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 3.0 3.1 3.2 0.9987 0.9990 0.9991 0.9993 0.9993 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.9991 0.9994 0.9991 0.9994 0.9996 0.9992 0.9994 0.9992 0.9992 0.9994 0.9994 0.9993 0.9995 0.9995 0.9996 0.9993 0.9995 0.9997 0.9992 0.9996 0.9997 0.9996 0.9997 0.9996 0.9996 0.9997 0.9997 33 0.9995 0.9995 0.9995 34 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
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