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

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. There is an ideal thickness for the gaskets, and the machine produces gaskets whose thicknesses are all within (+ or -) 50 microns of the ideal thickness, with a uniform distribution over this range. Unfortunately, gaskets must be discarded as scrap if their thickness differs from the ideal by more than 30microns. What proportion of gaskets will not be discarded?

Explanation / Answer

proportion of gaskets will not be discarded =proportion of gaskets within range of -30 to +30 micron range

=(30-(-30))/(50-(-50))=60/100 =0.6

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