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The tensile strength of a certain metal component is normally distributed with a mean 10,000 kilograms per square centimeter and a standard deviation of 100 kilograms per square centimeter. Measurements are recorded to the nearest 50 kilograms per square centimeter.
(a) What proportion of these components exceeds 10,150 kilograms per square centimeter in tensile strength?
(b) If specifications require that all components have tensile strength between 9800 and 10,200 kilograms per square centimeter inclusive, what, proportion of pieces would we expect to scrap?
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