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The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 15 minutes and a standard deviation of 4 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 2% of its customers, how long should it make the guaranteed time limit? Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). (a) The percent of customers that receive the service for half-price is %. (Round to two decimal places as needed.) (b) The guaranteed time limit is minutes. (Round up to the nearest minute.)

The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 15 minutes and a standard deviation of 4 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 2% of its customers, how long should it make the guaranteed time limit? Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2). (a) The percent of customers that receive the service for half-price is %. (Round to two decimal places as needed.) (b) The guaranteed time limit is minutes. (Round up to the nearest minute.)

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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Standard Normal Distribution Table (page 1) Standard Normal Distribution Table (page 2) Area Area Standard Normal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 -3.4 -3.3 -3.2 0.0003 0.0005 0.5120 0.5517 0.5910 0.5199 0.5596 0.5987 0.0003 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.5080 0.5478 0.5160 0.5557 0.5948 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.0004 0.0006 0.1 0.2 0.5319 0.5714 0.5359 0.5753 0.6141 0.0006 0.5871 0.6103 0.0009 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0008 0.0011 0.0008 0.0011 0.0007 0.0010 0.0007 0.0010 0.6255 0.6628 0.6293 0.6664 0.6331 0.6700 0.6368 -3.1 -3.0 0.0009 0.0013 0.3 0.4 0.6179 0.6554 0.6217 0.6591 0.6406 0.6772 0.6443 0.6808 0.6480 0.6844 0.6517 0.6879 0.6736 -29 -2.8 -2.7 -2.6 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0.5 0.7123 0.7454 0.7764 0.6 0.7 0.0044 0.0059 0.0039 0.0052 0.0038 0.0051 0.0036 0.0048 0.7910 0.8186 0.7939 0.8212 0.7967 0.8238 0.8051 0.8315 0.8106 0.8365 0.0041 0.0040 0.0037 0.0049 0.8 0.7881 0.8133 0.8389 -2.5 0.0055 0.0054 0.9 0.8159 -2.4 -2.3 -2.2 -2.1 -2.0 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0073 0.0096 0.0125 0.0075 0.0071 0.0069 0.0064 0.0084 0.0110 0.8413 0.8643 0.8849 0.8438 0.8461 0.8686 0.8888 0.8508 0.8729 0.8531 0.8749 0.8944 0.8554 0.0099 0.0129 0.0094 0.0122 0.0091 0.0119 0.0068 0.0089 0.0066 0.0087 0.0113 1.0 1.1 1.2 0.8485 0.8708 0.8907 0.8577 0.8790 0.8980 0.8599 0.8810 0.8621 0.8830 0.8665 0.8770 0.0116 0.8869 0.8925 0.8962 0.8997 0.90 15 0.0179 0.0228 0.0174 0.0222 0.0162 0.0207 0.0158 0.0202 0.0154 0.0197 0.0150 0.0192 0.0143 0.0183 0.9032 0.9192 0.9082 0.9236 0.9115 0.9265 0.9131 0.9279 0.9162 0.9306 0.9177 0.9319 0.0170 0.0166 0.0212 0.0146 0.0188 1.3 1.4 0.9049 0.9066 0.9222 0.9099 0.9251 0.9147 0.0217 0.9207 0.9292 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0256 0.0322 0.0401 0.0495 0.0606 0.0233 0.0294 0.0367 0.9345 0.9463 0.9564 0.0250 0.0314 0.0244 0.0307 0.0384 0.9332 0.9452 0.9554 0.9357 0.9382 0.9495 0.9591 0.9394 -1.9 -1.8 -1.7 0.0274 0.0344 0.0427 0.0268 0.0336 0.0262 0.0329 0.0409 0.0505 0.0239 0.0301 0.0375 0.0465 0.0571 1.5 1.6 1.7 0.9370 0.9484 0.9582 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.9505 0.9599 0.9474 0.9573 0.9656 0.9726 0.0418 0.0392 -1.6 -1.5 0.0548 0.0668 0.0537 0.0655 0.0526 0.0643 0.0455 0.0559 0.9641 0.9713 0.9693 0.9756 0.9706 0.9767 0.0516 0.0485 0.0594 0.0475 0.0582 1.8 1.9 0.9649 0.9719 0.9664 0.9732 0.9671 0.9738 0.9678 0.9744 0.9686 0.9750 0.9699 0.9761 0.0630 0.0618 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.0708 0.0853 0.1020 0.9772 0.9821 0.9861 0.9783 0.9830 0.9868 0.9803 0.9846 0.9881 0 0000 0.0793 0.0951 0.1131 0.0721 0.0869 0.1038 0.9817 0.9857 0.0694 -1.4 -1.3 -1.2 0.0808 0.0968 0.1151 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 01251 0.0681 0.0823 0.0985 0 1170 2.0 2.1 2.2 0.9778 0.9826 0.9864 0 0906 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.0838 0.1003 0.9890 ר 0 1100 0 090? 0 0909 0 0001 0 0012 0.0016 01257 01325 01214 01202 01220 01210 0.0004 0.0006 0.0011
Transcribed Image Text:Standard Normal Distribution Table (page 1) Standard Normal Distribution Table (page 2) Area Area Standard Normal Distribution Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 -3.4 -3.3 -3.2 0.0003 0.0005 0.5120 0.5517 0.5910 0.5199 0.5596 0.5987 0.0003 0.0003 0.0005 0.0007 0.0010 0.0013 0.0003 0.0005 0.0007 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0006 0.0003 0.0004 0.0005 0.0003 0.0004 0.0005 0.0002 0.0003 0.0005 0.5000 0.5398 0.5793 0.5040 0.5438 0.5832 0.5080 0.5478 0.5160 0.5557 0.5948 0.5239 0.5636 0.6026 0.5279 0.5675 0.6064 0.0004 0.0006 0.1 0.2 0.5319 0.5714 0.5359 0.5753 0.6141 0.0006 0.5871 0.6103 0.0009 0.0013 0.0009 0.0012 0.0008 0.0012 0.0008 0.0011 0.0008 0.0011 0.0008 0.0011 0.0007 0.0010 0.0007 0.0010 0.6255 0.6628 0.6293 0.6664 0.6331 0.6700 0.6368 -3.1 -3.0 0.0009 0.0013 0.3 0.4 0.6179 0.6554 0.6217 0.6591 0.6406 0.6772 0.6443 0.6808 0.6480 0.6844 0.6517 0.6879 0.6736 -29 -2.8 -2.7 -2.6 0.0019 0.0026 0.0035 0.0047 0.0062 0.0018 0.0025 0.0034 0.0045 0.0060 0.0018 0.0024 0.0033 0.0017 0.0023 0.0032 0.0043 0.0057 0.0016 0.0023 0.0031 0.0016 0.0022 0.0030 0.0015 0.0021 0.0029 0.0015 0.0021 0.0028 0.0014 0.0020 0.0027 0.0014 0.0019 0.0026 0.6915 0.7257 0.7580 0.6950 0.7291 0.7611 0.6985 0.7324 0.7642 0.7019 0.7357 0.7673 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.7224 0.7549 0.7852 0.5 0.7123 0.7454 0.7764 0.6 0.7 0.0044 0.0059 0.0039 0.0052 0.0038 0.0051 0.0036 0.0048 0.7910 0.8186 0.7939 0.8212 0.7967 0.8238 0.8051 0.8315 0.8106 0.8365 0.0041 0.0040 0.0037 0.0049 0.8 0.7881 0.8133 0.8389 -2.5 0.0055 0.0054 0.9 0.8159 -2.4 -2.3 -2.2 -2.1 -2.0 0.0082 0.0107 0.0139 0.0080 0.0104 0.0136 0.0078 0.0102 0.0132 0.0073 0.0096 0.0125 0.0075 0.0071 0.0069 0.0064 0.0084 0.0110 0.8413 0.8643 0.8849 0.8438 0.8461 0.8686 0.8888 0.8508 0.8729 0.8531 0.8749 0.8944 0.8554 0.0099 0.0129 0.0094 0.0122 0.0091 0.0119 0.0068 0.0089 0.0066 0.0087 0.0113 1.0 1.1 1.2 0.8485 0.8708 0.8907 0.8577 0.8790 0.8980 0.8599 0.8810 0.8621 0.8830 0.8665 0.8770 0.0116 0.8869 0.8925 0.8962 0.8997 0.90 15 0.0179 0.0228 0.0174 0.0222 0.0162 0.0207 0.0158 0.0202 0.0154 0.0197 0.0150 0.0192 0.0143 0.0183 0.9032 0.9192 0.9082 0.9236 0.9115 0.9265 0.9131 0.9279 0.9162 0.9306 0.9177 0.9319 0.0170 0.0166 0.0212 0.0146 0.0188 1.3 1.4 0.9049 0.9066 0.9222 0.9099 0.9251 0.9147 0.0217 0.9207 0.9292 0.0287 0.0359 0.0446 0.0281 0.0351 0.0436 0.0256 0.0322 0.0401 0.0495 0.0606 0.0233 0.0294 0.0367 0.9345 0.9463 0.9564 0.0250 0.0314 0.0244 0.0307 0.0384 0.9332 0.9452 0.9554 0.9357 0.9382 0.9495 0.9591 0.9394 -1.9 -1.8 -1.7 0.0274 0.0344 0.0427 0.0268 0.0336 0.0262 0.0329 0.0409 0.0505 0.0239 0.0301 0.0375 0.0465 0.0571 1.5 1.6 1.7 0.9370 0.9484 0.9582 0.9406 0.9515 0.9608 0.9418 0.9525 0.9616 0.9429 0.9535 0.9625 0.9441 0.9545 0.9633 0.9505 0.9599 0.9474 0.9573 0.9656 0.9726 0.0418 0.0392 -1.6 -1.5 0.0548 0.0668 0.0537 0.0655 0.0526 0.0643 0.0455 0.0559 0.9641 0.9713 0.9693 0.9756 0.9706 0.9767 0.0516 0.0485 0.0594 0.0475 0.0582 1.8 1.9 0.9649 0.9719 0.9664 0.9732 0.9671 0.9738 0.9678 0.9744 0.9686 0.9750 0.9699 0.9761 0.0630 0.0618 0.0778 0.0934 0.1112 0.0764 0.0918 0.1093 0.0708 0.0853 0.1020 0.9772 0.9821 0.9861 0.9783 0.9830 0.9868 0.9803 0.9846 0.9881 0 0000 0.0793 0.0951 0.1131 0.0721 0.0869 0.1038 0.9817 0.9857 0.0694 -1.4 -1.3 -1.2 0.0808 0.0968 0.1151 0.0749 0.0901 0.1075 0.0735 0.0885 0.1056 01251 0.0681 0.0823 0.0985 0 1170 2.0 2.1 2.2 0.9778 0.9826 0.9864 0 0906 0.9788 0.9834 0.9871 0.9793 0.9838 0.9875 0.9798 0.9842 0.9878 0.9808 0.9850 0.9884 0.9812 0.9854 0.9887 0.0838 0.1003 0.9890 ר 0 1100 0 090? 0 0909 0 0001 0 0012 0.0016 01257 01325 01214 01202 01220 01210 0.0004 0.0006 0.0011
The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 15 minutes and a standard deviation of 4 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 2% of its customers, how long should it make the guaranteed time limit? Click here to view the standard norma distribution table (page 1D Click here to view the standard normal distribution table (page 2). (a) The percent of customers that receive the service for half-price is %. (Round to two decimal places as needed.) (b) The guaranteed time limit is minutes. (Round up to the nearest minute.)
Transcribed Image Text:The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 15 minutes and a standard deviation of 4 minutes. (a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take longer, the customer will receive the service for half-price. What percent of customers receive the service for half-price? (b) If the automotive center does not want to give the discount to more than 2% of its customers, how long should it make the guaranteed time limit? Click here to view the standard norma distribution table (page 1D Click here to view the standard normal distribution table (page 2). (a) The percent of customers that receive the service for half-price is %. (Round to two decimal places as needed.) (b) The guaranteed time limit is minutes. (Round up to the nearest minute.)
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