Question
1.Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process
1.Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 9 ounces.
- a.Theprocessstandarddeviationis0.2,andtheprocesscontrolissetatplusorminus0.5standarddeviation.Unitswithweightslessthan8.9orgreaterthan9.1ounceswillbeclassifiedasdefects.Whatistheprobabilityofadefect(to4decimals)?
- ______________
- Inaproductionrunof1000parts,howmanydefectswouldbefound(to0decimals)?
- ____________
- b.Throughprocessdesignimprovements,theprocessstandarddeviationcanbereducedto0.05.Assumetheprocesscontrolremainsthesame,withweightslessthan8.9orgreaterthan9.1ouncesbeingclassifiedasdefects.Whatistheprobabilityofadefect(roundedto4decimals;gettingtheexactanswer,althoughnotnecessary,willrequireExcel)?
- ________________
- Inaproductionrunof1000parts,howmanydefectswouldbefound(to0decimals)?
- ________________
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Numerical Analysis
Authors: Richard L. Burden, J. Douglas Faires
9th edition
538733519, 978-1133169338, 1133169333, 978-0538733519
