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 X1 are 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.