The Rockwell hardness of a metal specimen is determined by impressing the surface of the


Question: Question 8

The Rockwell hardness of a metal specimen is determined by impressing the surface of the specimen with a hardened point, and then measuring the depth of penetration. The hardness of a certain alloy is normally distributed with mean of 70 units and standard deviation of 3 units.

(a) If a specimen is acceptable only if its hardness is between 66 and 74 units, what is the probability that a randomly chosen specimen is acceptable?

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