Measuring the thickness of tread

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Question: A machine manufactures tires with a tread thickness that is normally distributed with mean 10 millimeters (mm) and standard deviation 2 mm. The tire has a 50,000- mile warranty. For the tire to last 50,000 miles, the manufacturer's guidelines specify that the tread thickness must be at least 7.9 mm. If the thickness of tread is measured to be less than 7.9 mm, then the tire is sold as an alternative brand with a warranty of less than 50,000 miles. Give an approximation to the probability that in a batch of 100 tires there are no more than 10 rejects.

Reference no: EM131769294

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