1. Consider the two-component assembly shown in given Figure. Suppose that the mean lengths are given as μ1=14 cm and μ2=8 cm. Assuming that the specifications for Y are 6± 0.2 cm, what are the tolerances for X1 and X2? Assume that the variance of X1 is three times as large as that of X2.
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2. Four metal plates, each of thickness of 3 cm, are welded together to form a subassembly. The specifications for the thickness of each plate are 3± 0.2 cm. Assuming the weld thickness to be negligible, determine the tolerances for the assembly thickness.