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The lengths of what are considered "1 inch" bolts are found to be normally distributed with a mean of 1.001 inches and a standard deviation of 0.002 inches. If a bolt's length is more than 2 standard deviations away from the mean, it is rejected for not meeting factory tolerances.

Questions:

1. What are the minimum and maximum lengths required for a bolt to meet factory tolerances?

2. What percentage of bolts will be rejected?

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