An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.75 inch. The lower and upper specification limits under which the ball bearings can operate are 0.761 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.753 inch and a standard deviation of 0.004 inch. What is the probability that a ball bearing is A) Between the target and the actual mean? ( 4 decimal places) B) between the lower specification limit and the target? C) Above the upper specification limit? (4 decimal places) D) Below the lower specification limit? (4 decimal places) E) Of all the bearings, 93% of the diameters are greater than what value? (Round to 3 decimal places)
An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.75 inch. The lower and upper specification limits under which the ball bearings can operate are 0.761 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.753 inch and a standard deviation of 0.004 inch. What is the probability that a ball bearing is A) Between the target and the actual mean? ( 4 decimal places) B) between the lower specification limit and the target? C) Above the upper specification limit? (4 decimal places) D) Below the lower specification limit? (4 decimal places) E) Of all the bearings, 93% of the diameters are greater than what value? (Round to 3 decimal places)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.75 inch. The lower and upper specification limits under which the ball bearings can operate are 0.761 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed , with a mean of 0.753 inch and a standard deviation of 0.004 inch. What is the probability that a ball bearing is
A) Between the target and the actual mean? ( 4 decimal places)
B) between the lower specification limit and the target?
C) Above the upper specification limit? (4 decimal places)
D) Below the lower specification limit? (4 decimal places)
E) Of all the bearings, 93% of the diameters are greater than what value? (Round to 3 decimal places)
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