A manufacturing company uses an acceptance scheme on items from a production line before they are shipped. The plan is a two-stage one. Boxes of 24 items are readied for shipment, and a sample of 3 items is tested for defectives. If any defectives are found, the entire box is sent back for 100% screening. If no defectives are found, the box is shipped. (a) What is the probability that a box containing 2 defectives will be shipped? (b) What is the probability that a box containing only 1 defective will be sent back for screening? (a) The probability that a box containing 2 defectives will be shipped is (Round to four decimal places as needed.) (b) The probability that a box containing only 1 defective will be sent back for screening is (Round to four decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A manufacturing company uses an acceptance scheme on items from a production line before they are shipped. The plan is a two-stage one. Boxes of 24 items are
readied for shipment, and a sample of 3 items is tested for defectives. If any defectives are found, the entire box is sent back for 100% screening. If no defectives
are found, the box is shipped.
(a) What is the probability that a box containing 2 defectives will be shipped?
(b) What is the probability that a box containing only 1 defective will be sent back for screening?
(a) The probability that a box containing 2 defectives will be shipped is
(Round to four decimal places as needed.)
(b) The probability that a box containing only 1 defective will be sent back for screening is
(Round to four decimal places as needed.)
Transcribed Image Text:A manufacturing company uses an acceptance scheme on items from a production line before they are shipped. The plan is a two-stage one. Boxes of 24 items are readied for shipment, and a sample of 3 items is tested for defectives. If any defectives are found, the entire box is sent back for 100% screening. If no defectives are found, the box is shipped. (a) What is the probability that a box containing 2 defectives will be shipped? (b) What is the probability that a box containing only 1 defective will be sent back for screening? (a) The probability that a box containing 2 defectives will be shipped is (Round to four decimal places as needed.) (b) The probability that a box containing only 1 defective will be sent back for screening is (Round to four decimal places as needed.)
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