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Consider the assembly of three components shown in Figure 9-19. The tolerances for these three components are given in Table. Assume that the tolerances on the components are independent of each other and that the lengths of the components are normally distributed with a capability ratio of 1.

What is the tolerance of the gap? Assuming normality, if specifications for the gap are 0.9± 0.201 cm, what proportion of the assemblies will not meet specifications? How could the proportion of nonconforming assemblies be reduced?

Component	Mean Length (cm)	Tolerance (cm)
A	10	10 ± 0.5
B	4	4 ± 0.2
C	5	5 ± 0.1

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