Solve the following 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 30 items arereadied for shipment, and a sample of 5 items is tested for defectives. If any defectives are found, the entire box is sent back for 100% screening. If no defectivesare found, the box is shipped.(a) What is the probability that a box containing 3 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 3 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.)

Here we will use the Hypergeometric distribution to calculate the required answer

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 30 items are readied for shipment, and a sample of 5 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 box containing 3 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 3 defectives will be shipped is. (Round to four decimal places as needed.) G (b) The probability that a box containing only 1 defective will be sent back for screening is (Round to four decimal places as needed.)

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 30 items are readied for shipment, and a sample of 5 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 box containing 3 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 3 defectives will be shipped is. (Round to four decimal places as needed.) G (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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