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Question 10 of 11 This quiz: 100 point(s) possible This question: 12 point(s) possible Submit quiz A particular manufacturing design requires a shaft with
Question 10 of 11 This quiz: 100 point(s) possible This question: 12 point(s) possible Submit quiz A particular manufacturing design requires a shaft with a diameter of 20.000 mm, but shafts with diameters between 19.992 mm and 20.008 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a mean of 20.005 mm and a standard deviation of 0.004 mm. Complete parts (a) through (d) below. a. For this process, what is the proportion of shafts with a diameter between 19.992 mm and 20.000 mm? The proportion of shafts with diameter between 19.992 mm and 20.000 mm is (Round to four decimal places as needed.) b. For this process, what is the probability that a shaft is acceptable? The probability that a shaft is acceptable is (Round to four decimal places as needed.) c. For this process, what is the diameter that will be exceeded by only 5% of the shafts? The diameter that will be exceeded by only 5% of the shafts is mm. (Round to four decimal places as needed.) d. What would be your answers to parts (a) through (c) if the standard deviation of the shaft diameters were 0.003 mm? If the standard deviation is 0.003 mm, the proportion of shafts with diameter between 19.992 mm and 20.000 mm is (Round to four decimal places as needed.) If the standard deviation is 0.003 mm, the probability that a shaft is acceptable is (Round to four decimal places as needed.) If the standard deviation is 0.003 mm, the diameter that will be exceeded by only 5% of the shafts is mm. (Round to four decimal places as needed.)
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