Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces. a. The process standard deviation is 0.15, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 9.64 or greater than 10.36 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? b. Through process design improvements, the process standard deviation can be reduced to 0.12. Assume the process control remains the same, with weights less than 9.64 or greater than 10.36 ounces being classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?

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Exercise 06.35 Algo (Normal Probability Distribution)
◄ Question 12 of 16 ►
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production
process produces items with a mean weight of 10 ounces.
In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?
Hint(s) Check My Work
a. The process standard deviation is 0.15, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 9.64 or greater
than 10.36 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)?
In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?
b. Through process design improvements, the process standard deviation can be reduced to 0.12. Assume the process control remains the same, with weights
less than 9.64 or greater than 10.36 ounces being classified as defects. What is the probability of a defect (to 4 decimals)?
Transcribed Image Text:Exercise 06.35 Algo (Normal Probability Distribution) ◄ Question 12 of 16 ► Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces. In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? Hint(s) Check My Work a. The process standard deviation is 0.15, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 9.64 or greater than 10.36 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? b. Through process design improvements, the process standard deviation can be reduced to 0.12. Assume the process control remains the same, with weights less than 9.64 or greater than 10.36 ounces being classified as defects. What is the probability of a defect (to 4 decimals)?
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Exercise 06.35 Algo (Normal Probability Distribution)
Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production
process produces items with a mean weight of 10 ounces.
In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?
Question 12 of 16
a. The process standard deviation is 0.15, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 9.64 or greater
than 10.36 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)?
Hint(s) Check My Work
In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)?
b. Through process design improvements, the process standard deviation can be reduced to 0.12. Assume the process control remains the same, with weights
less than 9.64 or greater than 10.36 ounces being classified as defects. What is the probability of a defect (to 4 decimals)?
O Icon Key
c. What is the advantage of reducing process variation, thereby causing a problem limits to be at a greater number of standard deviations from the mean?
It can substantially reduce the number of defects.
Hint(s) Check My Work
Transcribed Image Text:Exercise 06.35 Algo (Normal Probability Distribution) Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 10 ounces. In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? Question 12 of 16 a. The process standard deviation is 0.15, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 9.64 or greater than 10.36 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? Hint(s) Check My Work In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? b. Through process design improvements, the process standard deviation can be reduced to 0.12. Assume the process control remains the same, with weights less than 9.64 or greater than 10.36 ounces being classified as defects. What is the probability of a defect (to 4 decimals)? O Icon Key c. What is the advantage of reducing process variation, thereby causing a problem limits to be at a greater number of standard deviations from the mean? It can substantially reduce the number of defects. Hint(s) Check My Work
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