mechanic sells a brand of automobile tire that has a life expectancy that is nor
ID: 3318803 • Letter: M
Question
mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 33,000 miles and a standard deviation of 2700 miles He wants to give a guarantee for tree replacement of tires Nell How should he word his guarantee if he is wi ng to replace approximately 10% of the tres Click to vie.page oft the table. click to view nae 2of heStandard Normal Table(Page 1) Tires that wear out by miles will be replaced free of charge. that don't wear Standard Normal Table (Page 2) Round to the nearest mile as needed.) 0.09-0.08 -0.070.05 0.05-0.04-0.03 0.02 0.010.00-1 T .000.01-0.02.. 003- 0.04 0.05-0.06-0.07 ad 8-00 .00 0.01 0.02 0.03 0.04 0.05 0.06 0.0 3.4 0.0002 0.0003 0 0003 00003 0.0003 0.0003 0 0003 0.0003 00003 0.0003 0.0 0.5000 0 5040 0 5080 0.5120 0.5160 05199 0 5239 0 5279 0 5319 0 5359 0.1 10.5398 0 5438 0 5478 0 5517 0 5557 0.5596 0 5636 05675 057140 3.3 0 0003 0 00040 00040 00040 0004 0 0004 0 0004 0 0005 0 0005 0 0005 3.2 00005 00005 0.0005 0 0006 0.0006 0.0006 0.0006 0.0006 0 0007 000017 0.2 05793 0.5832 0 5871 0 5910 0 5948 0.5987 0 6026 0 6064 0.6103 0 6141 3.1 0 0007 0 0007 0 0008 0 0008 0 0008 0 0008 0 0009 0 0009 0 0009 0 0010 0.3 06179 0 6217 0 6255 0.6293 0.6331 0 6368 0 6406 0 6443 0 6480 0.6517 0.4 0.6554 0 6591 0 6628 0.6664 0.6700 0 6736 0 6772 0 6808 0 6844 0 6879 3,0 00010 00010 00011 00011 00011 0 0012 0 0012 00013 0 0013 0.0013 2.9 0 0014 0 0014 0 0015 0.0015 00016 0.0016 0.0017 0 0018 00018 00019 0.5 0.6915 0 6950 0 6985 0 7019 0.7054 0 7088 0 7123 0 7157 07190 0.7224 2.8 lo 00190 0020 0 002 1 0 00210 0022 0 0023 0 0023 0 0024 0 0025 00026 2.7 100026 0 0027 0 0028 0 0029 0.0030 0.0031 0.0032 00033 0 0034 0.0035 2.6 0.0036 0 0037 0 0038 00039 0.0040 00041 0 0043 0 0044 0 0045 0.0047 0.6 | 0 7257 0 72910 7324 0 7357 0 7389 0 7422 0 7454 0 7486 0 7517 0 7549 0.7 0.8 7580 0 76110 7642 0 7673 0 7704 0 7734 0 7764 0 7794 0 7823 0 7852 07881 0 7910 0 7939 0.7967 07995 0 8023 0 8051 0 8078 0 8106 0 8133 2.5 0.0048 0 0049 0 0051 0.0052 0 0054 0 0055 0 0057 0 0059 0.0060 0.0062 2.4 00064 0 0066 0 0068 0.0069 0.0071 0.0073 0 0075 0 0078 0.0080 0.0082 2.3 00084 0 0087 0 0089 0 0091 0.0094 0.0096 00099 0 0102 0 0104 0 0107 22]0 01 10 0 011 3 0 01 16 0 01 19 0 0122 0 0125 0 0 129 0 0132 0 0136 0 0139 2.1 0.0143 0 0146 0 0150 0.0154 00158 0 0162 0 0166 0 0170 00174 0 0179 2.0 0 0183 0 0188 0 0192 00197 0.0202 0 0207 0 0212 0.0217 0 0222 0 0228 1.9 0.0233 0.0239 0 0244 0 0250 0 0256 0 0262 0 0268 00274 0 0281 0 0287 1.8 0 0294 0 0301 0 0307 0 0314 0.0322 0.0329 0 0336 0 0344 0 0351 0 0359 70 0367 0 0375 0 0384 0 0392 0 0401 0 0409 0.0418 0 0427 0.0436 0 0446 1.6 0 0455 0 0465 0.0475 0 0485 0 0495 0 0505 0 0516 0 0526 0 0537 0 0548 1.5 0 0559 0 0571 0 0582 0.0594 0 0606 0 0618 0 0630 0 0643 0 0655 0 0668 0.9 0 8159 0 8186 0 8212 0 8238 0 8264 0 8289 0 8315 0 8340 0 8365 0 8389 1.0 (0 8413 0.8438 0 8461 0.9435 08508 0 8531 0.8554 0 8577 0 8599 0 3621 1.1 0 8643 0 8665 0 8686 0 8708 0 8729 08749 0 8770 0 8790 0 8810 0 8830 1.2 0.8849 0 8869 0 8888 0 8907 0.8925 0 8944 0 8962 0 8990 0.8997 0 9015 1.3 09032 09049 09066 09082 09099 0 9115 0913109147 09162 09177 1.4 0 9192 0 9207 0 9222 0 9236 0.9251 0 9265 0 9279 0 9292 0 9306 0 9319 1.5 10 9332 0 9345 0 9357 0 9370 0 9382 0 9394 0 9406 0 9418 0 9429 0 9441 1.6 jo 9452 0 9463 0 9474 09484 0 9495 0 9505 0 9515 0 9525 0 9535 0 9545 1.7 (0.9554 0 9564 0 9373 0 9582 0 9591 0 9599 0 9608 0 9616 0 9625 0 9633 18 (0 9641 0 9649 0 9658 0 9664 0 9671 0 9678 0.9686 0 9693 0. 9699 0 9706 1.9 0 9713 0 9719 0.9726 0 9732 09738 0 9744 0 9750 0 9756 0.9761 0 9767 Enter your answer in the answer box Type here to sea 8Explanation / Answer
z score corresponding to lowest 10% of the area = -1.28
Hence,
Minimum guarantee = 33000 - 1.28(2700) = 29544 miles
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