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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 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1000 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 1400 chocolate chips is (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1000 chocolate chips is (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1200 chocolate chips is (Round to four decimal places as needed.) (d) A bag that contains 1025 chocolate chips is in the th percentile. (Round to the nearest integer 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 1000 and 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1000 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 1400 chocolate chips is (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1000 chocolate chips is (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1200 chocolate chips is (Round to four decimal places as needed.) (d) A bag that contains 1025 chocolate chips is in the th percentile. (Round to the nearest integer 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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10/9/23, 4:36 PM TABLE V z .00 .01 .02 06 07 .09 0.0183 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0005 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 <-3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0,0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -2.9 0.0019 0,0018 0,0018 0,0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 00040 0.0039 0.0038 0.0037 0.0036 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 00143 -2.0 0.0228 0,0222 0.0217 0,0212 0.0207 0.0202 0.0197 0.0192 -1.9 0.0287 0,0281 0.0274 0.0768 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0,0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0485 0.0475 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 -1.3 0.0951 0.0934 0.0918 0.0901 0.0885 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 -1.1 0.1357 0.1335 0.1314 0.1292 -1.0 0.1587 0.1562 0.1539 0.1515 -0.9 0.1841 0.1814 0.1788 0.1762 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 -0.4 0.3446 0.3372 0.3409 0.3336 0.3300 0.5409 0.3264 03228 03192 0.3156 -0.3 0.3821 0.3783 0.3745 0.3707 0 3660 0.3632 0.3557 0.3594 0.3520 -0.2 0.4207 0.4168 0.4129 0.4090 04052 0.4013 0.3974 0.3936 0.3897 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 04364 0.4325 0.4286 0.0721 0.0708 0.0694 0.0681 0.0869 0.0853 0.0838 0.0823 0.1038 0.1020 0.1006 0.0985 0.1271 0.1251 0.1230 0.1210 0.1190 01170 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 0.1977 0.1949 0.1922 0.1894 0.1867 0.2266 0.2236 0.2206 02177 02148 0.2578 0.2546 0.2514 02483 02451 0.2912 0.2877 0.2843 0.2810 0.2776 03121 03467 0.3483 0.3859 0.4247 0.5199 0.5239 0.5279 05319 0.5359 0.5636 0.5675 05714 0.5753 0.6064 06103 0.6141 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 -0.0 0.5000 0.4960 0,4920 0.4880 0,4840 0.4801 0.4761 0.4721 04681 0.4641 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.3 0.6179 0.6217 0.6255 0.6293 0.4 0.6554 0.6591 0.6628 0,6664 0.5 0.6915 0,6950 0.6985 0.7019 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.8 0.7881 0.7910 0.7939 0,7967 0,7995 0.9 0.8186 0.8212 0.8238 0.8264 0.8413 0.8438 0.8461 0.8485 0.8508 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 1.2 0,8907 0.8925 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 1.4 0.9192 0.9207 0.9222 0.9236 1.0 0,7054 0.7088 0,7123 0.7157 0.7190 0.7224 0.7454 0.7486 0.7517 0.7549 0.7734 0.7764 0.7794 0.7823 0.7852 0.8023 0.8051 0.8078 0.8106 0.8133 0.8315 0.8340 0.8365 0.8389 0.8531 0.8554 0.8577 0.8599 0.8621 0.8749 0.8770 0.8790 0.8810 0.8830 0.8944 0.8962 0.8980 0.8997 0.9015 0.9131 0.9147 0.9162 0.9177 0,9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9484 09495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9599 0.9608 0.9616 0.9625 0.9633 0.9678 0.9686 0.9693 0.9699 0.9706 0.8849 0.8869 0.8888 0.9756 0.9761 0.9767 28 29 Standard Normal Distribution 03 .04 05 1.5 0.9332 0,9345 0.9357 0.9370 1.6 0.9452 0.9463 0.9474 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 3.0 3.1 3.2 .00 Τ 20 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9821 0.9826 0.9830 0.9834 0.9838 0.9808 0.9812 0.9817 21 0.9846 0.9850 0.9854 0.9857 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 0.9943 0.9945 2.5 0.9938 0.9940 0.9941 0.9946 0.9948 0.9949 0.9951 0.9952 26 09953 0.9955 0.9956 0.9957 09959 09960 0.9961 0.9962 0.9963 0.9964 27 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9975 0.9976 0.9977 0.9977 0.9979 0.9979 0.9980 0.9981 0.9981 0.9982 09987 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 .01 9009/0 .02 Tables of Areas under the Normal Curve 08 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 0.999 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 0.9987 0.9990 0.9991 0.9991 33 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 03 .04 .05 .07 .08 .09
Transcribed Image Text:10/9/23, 4:36 PM TABLE V z .00 .01 .02 06 07 .09 0.0183 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0005 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 <-3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0,0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -2.9 0.0019 0,0018 0,0018 0,0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 00040 0.0039 0.0038 0.0037 0.0036 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 00143 -2.0 0.0228 0,0222 0.0217 0,0212 0.0207 0.0202 0.0197 0.0192 -1.9 0.0287 0,0281 0.0274 0.0768 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0,0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0485 0.0475 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 -1.3 0.0951 0.0934 0.0918 0.0901 0.0885 -1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 -1.1 0.1357 0.1335 0.1314 0.1292 -1.0 0.1587 0.1562 0.1539 0.1515 -0.9 0.1841 0.1814 0.1788 0.1762 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 -0.4 0.3446 0.3372 0.3409 0.3336 0.3300 0.5409 0.3264 03228 03192 0.3156 -0.3 0.3821 0.3783 0.3745 0.3707 0 3660 0.3632 0.3557 0.3594 0.3520 -0.2 0.4207 0.4168 0.4129 0.4090 04052 0.4013 0.3974 0.3936 0.3897 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 04364 0.4325 0.4286 0.0721 0.0708 0.0694 0.0681 0.0869 0.0853 0.0838 0.0823 0.1038 0.1020 0.1006 0.0985 0.1271 0.1251 0.1230 0.1210 0.1190 01170 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 0.1977 0.1949 0.1922 0.1894 0.1867 0.2266 0.2236 0.2206 02177 02148 0.2578 0.2546 0.2514 02483 02451 0.2912 0.2877 0.2843 0.2810 0.2776 03121 03467 0.3483 0.3859 0.4247 0.5199 0.5239 0.5279 05319 0.5359 0.5636 0.5675 05714 0.5753 0.6064 06103 0.6141 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 -0.0 0.5000 0.4960 0,4920 0.4880 0,4840 0.4801 0.4761 0.4721 04681 0.4641 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.3 0.6179 0.6217 0.6255 0.6293 0.4 0.6554 0.6591 0.6628 0,6664 0.5 0.6915 0,6950 0.6985 0.7019 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.8 0.7881 0.7910 0.7939 0,7967 0,7995 0.9 0.8186 0.8212 0.8238 0.8264 0.8413 0.8438 0.8461 0.8485 0.8508 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 1.2 0,8907 0.8925 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 1.4 0.9192 0.9207 0.9222 0.9236 1.0 0,7054 0.7088 0,7123 0.7157 0.7190 0.7224 0.7454 0.7486 0.7517 0.7549 0.7734 0.7764 0.7794 0.7823 0.7852 0.8023 0.8051 0.8078 0.8106 0.8133 0.8315 0.8340 0.8365 0.8389 0.8531 0.8554 0.8577 0.8599 0.8621 0.8749 0.8770 0.8790 0.8810 0.8830 0.8944 0.8962 0.8980 0.8997 0.9015 0.9131 0.9147 0.9162 0.9177 0,9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9484 09495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9599 0.9608 0.9616 0.9625 0.9633 0.9678 0.9686 0.9693 0.9699 0.9706 0.8849 0.8869 0.8888 0.9756 0.9761 0.9767 28 29 Standard Normal Distribution 03 .04 05 1.5 0.9332 0,9345 0.9357 0.9370 1.6 0.9452 0.9463 0.9474 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 3.0 3.1 3.2 .00 Τ 20 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9821 0.9826 0.9830 0.9834 0.9838 0.9808 0.9812 0.9817 21 0.9846 0.9850 0.9854 0.9857 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 2.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 0.9943 0.9945 2.5 0.9938 0.9940 0.9941 0.9946 0.9948 0.9949 0.9951 0.9952 26 09953 0.9955 0.9956 0.9957 09959 09960 0.9961 0.9962 0.9963 0.9964 27 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9975 0.9976 0.9977 0.9977 0.9979 0.9979 0.9980 0.9981 0.9981 0.9982 09987 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 .01 9009/0 .02 Tables of Areas under the Normal Curve 08 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 0.999 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 0.9987 0.9990 0.9991 0.9991 33 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 03 .04 .05 .07 .08 .09
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 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1000 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 1400 chocolate chips is (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1000 chocolate chips is (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1200 chocolate chips is (Round to four decimal places as needed.) (d) A bag that contains 1025 chocolate chips is in the th percentile. (Round to the nearest integer 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 1400 chocolate chips? (b) What is the probability that a randomly selected bag contains fewer than 1000 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 1400 chocolate chips is (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1000 chocolate chips is (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1200 chocolate chips is (Round to four decimal places as needed.) (d) A bag that contains 1025 chocolate chips is in the th percentile. (Round to the nearest integer as needed.)
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**Understanding Probabilities with Normally Distributed Data** The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 and a standard deviation of 129 chips. Let's explore some probabilities and distributions: **(a)** What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips? - The probability is **0.8493**. **(b)** What is the probability that a randomly selected bag contains fewer than 1000 chocolate chips? - The probability is **0.0256**. **(c)** What proportion of bags contains more than 1200 chocolate chips? - The proportion is **0.6554**. **(d)** What is the percentile rank of a bag that contains 1025 chocolate chips? - The bag is in the **[blank]**th percentile. *(Note: Round to the nearest integer as needed.)* For additional calculations, you can refer to a table of areas under the normal curve. This exercise helps illustrate how to calculate probabilities and percentiles using a normal distribution, a common scenario in statistics.
Transcribed Image Text:**Understanding Probabilities with Normally Distributed Data** The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 and a standard deviation of 129 chips. Let's explore some probabilities and distributions: **(a)** What is the probability that a randomly selected bag contains between 1000 and 1400 chocolate chips? - The probability is **0.8493**. **(b)** What is the probability that a randomly selected bag contains fewer than 1000 chocolate chips? - The probability is **0.0256**. **(c)** What proportion of bags contains more than 1200 chocolate chips? - The proportion is **0.6554**. **(d)** What is the percentile rank of a bag that contains 1025 chocolate chips? - The bag is in the **[blank]**th percentile. *(Note: Round to the nearest integer as needed.)* For additional calculations, you can refer to a table of areas under the normal curve. This exercise helps illustrate how to calculate probabilities and percentiles using a normal distribution, a common scenario in statistics.
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