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Consider the two-component assembly shown in given Figure. Suppose that the specifications for the dimension X₂ are 5 ±0.05 cm and those for X₁are 12± 0.15 cm. Find the specifications for the dimension Y.

Assume that the specification limits equal the natural tolerance limits. For what proportion of the assemblies will the dimension Y exceed the value 7.10 cm? Assume that the component dimensions X₁ and X₂ are normally distributed.

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