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Consider again the company making tires for bikes is concerned about the exact w

ID: 354533 • Letter: C

Question

Consider again the company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.5 mm and an upper specification limit of 23 mm. The standard deviation is 0.1 mm and the mean is 22.75 mm. (Round your answer to 4 decimal places.) a. What is the probability that a tire will be too narrow? not attempted (Round your answer to 4 decimal places.) b. What is the probability that a tire will be too wide? not attempted (Round your answer to 3 decimal places.) c. What is the probability that a tire will be defective? not attempted

Explanation / Answer

a)Probability that a tire will be too narrow

Z= 22.5- 22.75/0.1 = -2.5

Probability of z=-2.5 = 0.0062 or 0.62%

b) Probability that a tire will be too wide

Z= 23-22.75/0.1 =2.5

Probability of z=2.5 = 0.9938 or 99.38%