An assembly of two parts is formed by fitting a shaft into a bearing. It is known

Question:

An assembly of two parts is formed by fitting a shaft into a bearing. It is known that the inside diameters of bearings are normally distributed with mean 2.010 cm and standard deviation 0.002 cm, and that the outside diameters of the shafts are normally distributed with mean 2.004 cm and standard deviation 0.001 cm. Determine the of clearance between the parts if random assembly is used. What is the probability that the clearance is positive?
Distribution
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