Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the uspected number of defects for a 1,000-unit production run in the following situations. (a) The process standard deviation is 0.30, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.70 or greater than 10.30 ounces will be classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number. Probability of a defect: Number of defects: (b) Through process design improvements, the process standard deviation can be reduced to 0.10. Assume that the process control remains the same, with weights less than 9.70 or greater than 10.30 ounces being classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number. Probability of a defect: Number of defects: (c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean? Reducing the process standard deviation causes a - Select your answer in the number of defects.
Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the uspected number of defects for a 1,000-unit production run in the following situations. (a) The process standard deviation is 0.30, and the process control is set at plus or minus one standard deviation. Units with weights less than 9.70 or greater than 10.30 ounces will be classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number. Probability of a defect: Number of defects: (b) Through process design improvements, the process standard deviation can be reduced to 0.10. Assume that the process control remains the same, with weights less than 9.70 or greater than 10.30 ounces being classified as defects. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number. Probability of a defect: Number of defects: (c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean? Reducing the process standard deviation causes a - Select your answer in the number of defects.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that Motorola uses the normal distribution to determine the probability of defects and the number of defects in a particular production
process. Assume that the production process manufactures items with a mean weight of 10 ounces. Calculate the probability of a defect and the
suspected number of defects for a 1,000-unit production run in the following situations.
(a) The process standard deviation is 0.30, and the process control is set at plus or minus one standard deviation. Units with weights less than
9.70 or greater than 10.30 ounces will be classified as defects. If required, round your answer for the probability of a defect to four decimal
places and for the number of defects to the nearest whole number.
Probability of a defect:
Number of defects:
(b) Through process design improvements, the process standard deviation can be reduced to 0.10. Assume that the process control remains the
same, with weights less than 9.70 or greater than 10.30 ounces being classified as defects. If required, round your answer for the
probability of a defect to four decimal places and for the number of defects to the nearest whole number.
Probability of a defect:
Number of defects:
(c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations
from the mean?
Reducing the process standard deviation causes a Select your answer -
in the number of defects.
Hint(s) Check My Work
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