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 0.741 inch and 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? (Use 4 decimal places for your answer) Answer: the probability thet the ball is between the target and the actual mean is (B) between the lower specification limit and the target? (Use 4 decimal places for your answer) Answer: the probability thet the ball is between the lower specification limit and the target is (C) above the upper specification limit? (Use 4 decimal places for your answer) Answer: the probability thet the ball is above the upper specification limit is (D) below the lower specification limit? (Use 4 decimal places for your answer) Answer: the probability thet the ball is below the lower specification limit is (E) Of all the ball bearings, 93% of the diameters are greater than what value? (Round to 3 decimal places for your answer) Answer : 93% of the diameters are greater than inch

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Answer for question D) and E)

Pregunta 6
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 0.741 inch and 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? (Use 4 decimal places for your answer)
Answer: the probability thet the ball is between the target and the actual mean is
(B) between the lower specification limit and the target? (Use 4 decimal places for your answer)
Answer: the probability thet the ball is between the lower specification limit and the target is
(C) above the upper specification limit? (Use 4 decimal places for your answer)
Answer: the probability thet the ball is above the upper specification limit is
(D) below the lower specification limit? (Use 4 decimal places for your answer)
Answer: the probability thet the ball is below the lower specification limit is
(E) Of all the ball bearings, 93% of the diameters are greater than what value? (Round to 3 decimal places for your answer)
Answer : 93% of the diameters are greater than
inch
Transcribed Image Text:Pregunta 6 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 0.741 inch and 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? (Use 4 decimal places for your answer) Answer: the probability thet the ball is between the target and the actual mean is (B) between the lower specification limit and the target? (Use 4 decimal places for your answer) Answer: the probability thet the ball is between the lower specification limit and the target is (C) above the upper specification limit? (Use 4 decimal places for your answer) Answer: the probability thet the ball is above the upper specification limit is (D) below the lower specification limit? (Use 4 decimal places for your answer) Answer: the probability thet the ball is below the lower specification limit is (E) Of all the ball bearings, 93% of the diameters are greater than what value? (Round to 3 decimal places for your answer) Answer : 93% of the diameters are greater than inch
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