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Two processes of a company produce rolls of materials: The

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 14E Chapter 1.5

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 14E

PROBLEM 14E

Two processes of a company produce rolls of materials: The rolls of Process I are 3% defective and the rolls of Process II are 1% defective. Process I produces 60% of the company’s output, Process II 40%. A roll is selected at random from the total output. Given that this roll is defective, what is the conditional probability that it is from Process I?

Step-by-Step Solution:

Step 1 of 2:

Given that, a company has two processes to produce raw materials, namely process I and process II.

3% of rolls of process i are defective,that is P(defective rolls| they are from process I)=0.03.

1% of rolls of process II are defective, that is P(defective rolls given they are from process II)=0.01.

Process I produces 60% of company’s output.Therefore P(process I)=0.6.

Process Ii produces 40% of company’s output.Therefore P(process II)=0.4.

A roll is selected randomly. We have to find the conditional probability of process I given that the selected roll is defective.


Step 2 of 2

Chapter 1.5, Problem 14E is Solved
Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. This full solution covers the following key subjects: process, rolls, defective, Company, output. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The answer to “Two processes of a company produce rolls of materials: The rolls of Process I are 3% defective and the rolls of Process II are 1% defective. Process I produces 60% of the company’s output, Process II 40%. A roll is selected at random from the total output. Given that this roll is defective, what is the conditional probability that it is from Process I?” is broken down into a number of easy to follow steps, and 64 words. The full step-by-step solution to problem: 14E from chapter: 1.5 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Since the solution to 14E from 1.5 chapter was answered, more than 455 students have viewed the full step-by-step answer.

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Two processes of a company produce rolls of materials: The