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The diameter of a metal casting is a normal random variable X with mean 2.0 inches and standard deviation 0.1. (a) The tolerance for the

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The diameter of a metal casting is a normal random variable X with mean 2.0 inches and standard deviation 0.1. (a) The tolerance for the casting is 2.0 + 0.15 inches. What fraction of castings are acceptable? (b) Suppose an industrial engineer wants 95% of the castings to be acceptable. Then what must the tolerance be

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