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A cylindrical hole is drilled in a block, and a cylindrical piston is placed in the hole. The clearance is equal to one-half the difference
A cylindrical hole is drilled in a block, and a cylindrical piston is placed in the hole. The clearance is equal to one-half the difference between the diameters of the hole and the piston. The diameter of the hole is normally distributed with mean 15 cm and standard deviation 0.025 cm, and the diameter of the piston is normally distributed with mean 14.89 cm and standard deviation 0.015 cm. a) What is the probability that the clearance is less than 0.05 cm? (Round the final answer to four decimal places. b) Specifications call for the clearance to be between 0.05 and 0.09 cm. What is the probability that the clearance meets the specification? (Round the final answer to four decimal places.)
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