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Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let N20 denote the number of parts in the sample of 20 that require rework. a) A process problem is suspected if N20 exceeds its mean by more than three standard deviations. If the percentage of parts that require rework remains at 1%, what is the probability that a process problem is nevertheless suspected? b) If the rework percentage is actually 4%, what is the probability that N20 exceeds 1? c) If the rework percentage is actually 4%, what is the probability that N₂0 exceeds 1 in at least one of the next five hours of samples? d) If the rework percentage is actually 4%, what is the probability that more than two hours of sampling will be required to find the first part which requires rework?

Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let N20 denote the number of parts in the sample of 20 that require rework. a) A process problem is suspected if N20 exceeds its mean by more than three standard deviations. If the percentage of parts that require rework remains at 1%, what is the probability that a process problem is nevertheless suspected? b) If the rework percentage is actually 4%, what is the probability that N20 exceeds 1? c) If the rework percentage is actually 4%, what is the probability that N₂0 exceeds 1 in at least one of the next five hours of samples? d) If the rework percentage is actually 4%, what is the probability that more than two hours of sampling will be required to find the first part which requires rework?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let N20 denote the number of parts in the sample of 20 that require rework. a) A process problem is suspected if N20 exceeds its mean by more than three standard deviations. If the percentage of parts that require rework remains at 1%, what is the probability that a process problem is nevertheless suspected? b) If the rework percentage is actually 4%, what is the probability that N20 exceeds 1? c) If the rework percentage is actually 4%, what is the probability that N₂0 exceeds 1 in at least one of the next five hours of samples? d) If the rework percentage is actually 4%, what is the probability that more than two hours of sampling will be required to find the first part which requires rework?
Transcribed Image Text:Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let N20 denote the number of parts in the sample of 20 that require rework. a) A process problem is suspected if N20 exceeds its mean by more than three standard deviations. If the percentage of parts that require rework remains at 1%, what is the probability that a process problem is nevertheless suspected? b) If the rework percentage is actually 4%, what is the probability that N20 exceeds 1? c) If the rework percentage is actually 4%, what is the probability that N₂0 exceeds 1 in at least one of the next five hours of samples? d) If the rework percentage is actually 4%, what is the probability that more than two hours of sampling will be required to find the first part which requires rework?
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