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Metal rods are cut by a machine to a desired length of 100 mm. Due to random variation, actual lengths are normally distributed with mean

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Metal rods are cut by a machine to a desired length of 100 mm. Due to random variation, actual lengths are normally distributed with mean 100 and standard deviation 0.5. (a) We want to discard rods that are too short, and do not want to discard more than 5% of rods. Find the cutoff value for \"too short\". (b) Suppose we also want to discard rods that are too long, and still do not want to discard more than 5% of rods. Find cutoff values for \"too short\" and \"too long\

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