In a piston assembly, the specifications for the piston diameter are 12 ± 0.5 cm, and those for the cylinder diameter are 12.10 ± 0.4 cm. Assume that the natural tolerance limits coincide with the specifications. A clearance fit is required for the assembly. What proportion of the assemblies will be nonconforming, assuming a normal distribution of the piston and cylinder diameters? Clearances more than 0.8 cm are undesirable. What proportion of the assemblies will not meet this stipulation?
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