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Mathematics, 19.03.2020 23:25 bee3176
The clearance between a pin and the collar around it is important for the proper performance of a disc drive for small computers. The specifications call for the pin to have diameter 0.525 centimeter (cm) and for the collar to have diameter 0.526 cm. The clearance will then be 0.001 cm. In practice, both diameters vary from part to part independently of each other. The diameter X of the pin has the N(0.525, 0.0003) distribution, and the distribution of the diameter Y of the collar is N(0.526, 0.0004). a) What is the distribution of the clearance Y-X? b) What is the probability P(Y-X ï‚£ 0) that the pin will not fit inside the collar?
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