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Engineering and Tech / Introduction to Engineering Experimentation 3 / Chapter 6 / Problem 6.54

Introduction to Engineering Experimentation | 3rd Edition | ISBN: 9780131742765 | Authors: Anthony J. Wheeler, Ahmad R. Ganji

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In a test measuring the life span of a certain brand of

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QUESTION:

In a test measuring the life span of a certain brand of tire, 100 tires are tested. The results showed an average lifetime of 50,000 miles, with a standard deviation of 5000 miles. One hundred thousand of these tires have been sold and are on the road. (a) After what mileage would you expect 10% of the tires to have worn out? (b) How many tires are expected to wear out between 60,000 and 70,000 miles? (c) How many tires are expected to have a life of less than 20,000 miles? (d) What are your major assumptions in these calculations?

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QUESTION:

In a test measuring the life span of a certain brand of tire, 100 tires are tested. The results showed an average lifetime of 50,000 miles, with a standard deviation of 5000 miles. One hundred thousand of these tires have been sold and are on the road. (a) After what mileage would you expect 10% of the tires to have worn out? (b) How many tires are expected to wear out between 60,000 and 70,000 miles? (c) How many tires are expected to have a life of less than 20,000 miles? (d) What are your major assumptions in these calculations?

ANSWER:

Step 1 of 5

(a)

The probability for the tires to worn out is 10% that is 0.1.

The required probability is,

Here, 0.5 is the maximum probability in the table 6.3.

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