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?