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a. What is the probability that a ball bearing is between the target and the actual mean? (Round to four decimal places as needed.) b. What is the probability that a ball bearing is between the lower specification limit and the target? (Round to four decimal places as needed.) c. What is the probability that a ball bearing is above the upper specification limit? (Round to four decimal places as needed.)

a. What is the probability that a ball bearing is between the target and the actual mean? (Round to four decimal places as needed.) b. What is the probability that a ball bearing is between the lower specification limit and the target? (Round to four decimal places as needed.) c. What is the probability that a ball bearing is above the upper specification limit? (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.72 inch. The lower and upper specification limits under which the ball bearings can operate are 0.71 inch and 0.73 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.724 inch and a standard deviation of 0.003 inch. Complete parts (a) through (e) below. a. What is the probability that a ball bearing is between the target and the actual mean? (Round to four decimal places as needed.) b. What is the probability that a ball bearing is between the lower specification limit and the target? (Round to four decimal places as needed.) c. What is the probability that a ball bearing is above the upper specification limit? (Round to four decimal places as needed.) d. What is the probability that a ball bearing is below the lower specification limit? (Round to four decimal places as needed.) e. Of all the ball bearings, 92% of the diameters are greater than what value? inch (Round to three decimal places as needed.)
Transcribed Image Text:An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.72 inch. The lower and upper specification limits under which the ball bearings can operate are 0.71 inch and 0.73 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.724 inch and a standard deviation of 0.003 inch. Complete parts (a) through (e) below. a. What is the probability that a ball bearing is between the target and the actual mean? (Round to four decimal places as needed.) b. What is the probability that a ball bearing is between the lower specification limit and the target? (Round to four decimal places as needed.) c. What is the probability that a ball bearing is above the upper specification limit? (Round to four decimal places as needed.) d. What is the probability that a ball bearing is below the lower specification limit? (Round to four decimal places as needed.) e. Of all the ball bearings, 92% of the diameters are greater than what value? inch (Round to three decimal places as needed.)
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