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A center spindle shaft is manufactured at mass level. The average length of the shaft is...

A center spindle shaft is manufactured at mass level. The average length of the shaft is 25.00 in. and the standard deviation is 0.01 in. What are the probabilities of having following: 1. the shaft length less than 25.030 in. and 2. the shaft length between 24.98 and 25.025 in. 3. In the QA process, if the shafts having length more than 2.50 standard deviations are rejected, then what is the percentage of rejected shafts? 4. Determine the standard deviation required to reduce the rejection by one-third.

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