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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 23 items are readied for shipment, and a sample of 3 items is tested for defectives. If any defectives are lound, 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 4 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 4 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.) C

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 23 items are readied for shipment, and a sample of 3 items is tested for defectives. If any defectives are lound, 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 4 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 4 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.) C

A First Course in Probability (10th Edition)
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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### Acceptance Scheme for Manufacturing Shipments 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 23 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. 1. **(a)** What is the probability that a box containing 4 defectives will be shipped? 2. **(b)** What is the probability that a box containing only 1 defective will be sent back for screening? --- **Calculations:** **(a)** The probability that a box containing 4 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:### Acceptance Scheme for Manufacturing Shipments 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 23 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. 1. **(a)** What is the probability that a box containing 4 defectives will be shipped? 2. **(b)** What is the probability that a box containing only 1 defective will be sent back for screening? --- **Calculations:** **(a)** The probability that a box containing 4 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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