**Acceptance Scheme and Probability in Manufacturing**A manufacturing company implements an acceptance scheme to ensure the quality of items before shipment. The process follows a two-stage plan:1. **Selection and Testing:** - Each box contains 24 items. - A sample of 5 items is selected for testing. - If any of these items are found defective, the entire box is subjected to 100% screening. - If no defects are detected, the box is ready for shipment.**Probability Questions:**(a) What is the probability that a box containing 3 defective items will be shipped?(b) What is the probability that a box containing only 1 defective item will be sent back for screening?---**Solution Instructions:**(a) To solve question (a), identify the probability that a sample of 5 items includes no defects, given that there are exactly 3 defective items in the box. This involves combinatorial probability calculations and may require rounding to four decimal places.**Example Calculation Box:**(a) The probability that a box containing 3 defectives will be shipped is [ ]. Find the probability of being dealt a hand of 16 cards containing 3 spades, 5 hearts, 4 diamonds, and 4 clubs from an ordinary deck of 52 cards.---The probability of being dealt a hand containing 3 spades, 5 hearts, 4 diamonds, and 4 clubs 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 24 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 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.)

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 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 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.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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