Homework Help is Here – Start Your Trial Now!
Math
Probability
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.)

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...
See similar textbooks
icon
Related questions
Question

Solve the following

### Acceptance Scheme for Shipping Items A manufacturing company implements an acceptance scheme on items coming from a production line before they are shipped to customers. This scheme follows a two-stage inspection plan: 1. **Initial Preparation:** - Boxes containing 30 items are prepared for shipment. 2. **Testing for Defectives:** - A sample of 5 items from each box is tested for defectives. - If any defective items are found within this sample, the entire box is sent back for 100% screening. - If no defectives are found in the sample, the box is shipped without further inspection. ### Probability Questions (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?** --- ### Calculation Expectations (a) **Probability Calculation for 3 Defectives:** - Calculate the probability that a box containing 3 defectives will be shipped without any further inspection. - Round your answer to four decimal places. (b) **Probability Calculation for 1 Defective:** - Calculate the probability that a box containing only 1 defective will be identified during the sample testing and be sent back for full screening. - Round your answer to four decimal places.
Transcribed Image Text:### Acceptance Scheme for Shipping Items A manufacturing company implements an acceptance scheme on items coming from a production line before they are shipped to customers. This scheme follows a two-stage inspection plan: 1. **Initial Preparation:** - Boxes containing 30 items are prepared for shipment. 2. **Testing for Defectives:** - A sample of 5 items from each box is tested for defectives. - If any defective items are found within this sample, the entire box is sent back for 100% screening. - If no defectives are found in the sample, the box is shipped without further inspection. ### Probability Questions (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?** --- ### Calculation Expectations (a) **Probability Calculation for 3 Defectives:** - Calculate the probability that a box containing 3 defectives will be shipped without any further inspection. - Round your answer to four decimal places. (b) **Probability Calculation for 1 Defective:** - Calculate the probability that a box containing only 1 defective will be identified during the sample testing and be sent back for full screening. - Round your answer to four decimal places.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer