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Aluminum pins manufactured for the aviation industry have diameters that are normally distributed with mean 10 mm and standard deviation 0.02 mm. Holes are automatically

Aluminum pins manufactured for the aviation industry have diameters that are normally distributed with mean 10 mm and standard deviation 0.02 mm. Holes are automatically drilled on aluminum plates, with diameter having a normal distribution with mean n mm and standard deviation 0.02. Find the value of n such that the probability is 0.01 that a randomly selected pin will not go through a randomly selected hole (i.e., the hole is too narrow for the pin)

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