Determining the probability of sewing machine ball bearings

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An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.74 inch. The lower and upper specification limits under which the ball bearings can operate are 0.73 inch and 0.75 ?inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally? distributed, with a mean of 0.743 inch and a standard deviation of 0.009 inch. Complete parts? (a) through? (e) below.

a. What is the probability that a ball bearing is between the target and the actual? mean?

?b. What is the probability that a ball bearing is between the lower specification limit and the? target?

c. What is the probability that a ball bearing is above the upper specification? limit?

d. What is the probability that a ball bearing is below the lower specification? limit?

e. Of all the ball? bearings, 96?% of the diameters are greater than what? value?

Reference no: EM132857016

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