## Acceptance Sampling in ManufacturingA manufacturing company employs an acceptance scheme on items produced on a production line before they are shipped. The acceptance plan involves two stages. Boxes containing 24 items each are prepared for shipment. From each box, a sample of 3 items is tested for defects. If any defective items are found within the sample, the entire box is sent back for 100% screening. If no defectives are found, the box is shipped. ### Problem Statement**(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?### Solution**(a)** The probability that a box containing 2 defectives will be shipped is:\[ \text{(Round to four decimal places as needed.)} \]\[ \_\_\_\_\_ \]**(b)** The probability that a box containing only 1 defective will be sent back for screening is:\[ \text{(Round to four decimal places as needed.)} \]\[ \_\_\_\_\_ \]---In this exercise, students are expected to compute the probabilities using appropriate statistical methods, specifically focusing on combinations and the hypergeometric distribution. Understanding the calculation will not only help in similar real-world scenarios in manufacturing but also in scenarios involving quality control and sampling theory.

Solution Given That A manufacturing company uses an acceptance scheme on items from a production…

Answered: A manufacturing company uses an…

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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The Statspoodle, a German dog, can have pointy or floppy ears. Whether a Statspoodle has pointy or floppy ears follows a Bernoulli process. The probability that a Staatspoodle has pointy ears is p(pointy)=0.25 and the the probability that a Statspoodle has floppy ears is p(floppy)=0.75. For your graduation, you receive a Statspoodle and find out that she is pregnant. An ultrasound reveils that your new Statspoodle will have four puppies. The question is attached in the image
The Statspoodle, a German dog, can have pointy or floppy ears. Whether a Statspoodle has pointy or floppy ears follows a Bernoulli process. The probability that a Staatspoodle has pointy ears is p(pointy)=0.25 and the the probability that a Statspoodle has floppy ears is p(floppy)=0.75. For your graduation, you receive a Statspoodle and find out that she is pregnant. An ultrasound reveils that your new Statspoodle will have four puppies. How many ways are there to have one puppy out of the four with pointy ears
The Statspoodle, a German dog, can have pointy or floppy ears. Whether a Statspoodle has pointy or floppy ears follows a Bernoulli process. The probability that a Staatspoodle has pointy ears is p(pointy)=0.25 and the the probability that a Statspoodle has floppy ears is p(floppy)=0.75. For your graduation, you receive a Statspoodle and find out that she is pregnant. An ultrasound reveils that your new Statspoodle will have four puppies. What is the probability that none, one or two puppies have pointy ears
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