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A machining operation produces bearings with diameters
Chapter 4, Problem 66E(choose chapter or problem)
A machining operation produces bearings with diameters that are normally distributed with mean 3.0005 inches and standard deviation .0010 inch. Specifications require the bearing diameters to lie in the interval \(3.000 \pm .0020\) inches. Those outside the interval are considered scrap and must be remachined. With the existing machine setting, what fraction of total production will be scrap?
a Answer the question, using Table 4, Appendix 3.
b Applet Exercise Obtain the answer, using the applet Normal Probabilities.
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QUESTION:
A machining operation produces bearings with diameters that are normally distributed with mean 3.0005 inches and standard deviation .0010 inch. Specifications require the bearing diameters to lie in the interval \(3.000 \pm .0020\) inches. Those outside the interval are considered scrap and must be remachined. With the existing machine setting, what fraction of total production will be scrap?
a Answer the question, using Table 4, Appendix 3.
b Applet Exercise Obtain the answer, using the applet Normal Probabilities.
ANSWER:Step 1 of 3
It is given that the diameters of the bearings are distributed Normally with mean 3.0005 inches and standard deviation 0.0010 inches.
The bearings with diameters in the interval \(3.000 \pm 0.0020\) meet the specification and the bearings with diameters outside this interval are considered as scrap.
Using this we need to find the fraction of scrap in the total production.
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