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A machine produces delicate gaskets for use in medical equipment. Although the m

ID: 3351316 • Letter: A

Question

A machine produces delicate gaskets for use in medical equipment. Although the machine can be regulated, there is still random variation in the thickness of individual gaskets. The ideal thickness for a gasket is 110 microns. The machine produces gaskets whose thicknesses are all within (+ or -) 50 microns of the ideal thickness, and they are distributed uniformly over this range. Unfortunately, gaskets must be discarded as scrap if their thickness differs from the ideal by more than 20 microns. What proportion of gaskets must be discarded?  

Explanation / Answer

proportion of gaskets must be discarded =1-Prooportion of gaskets that are with in 20 microns of targetted thickness

=1-(20-(-20))/(50-(-50))=0.6

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