Answered: On an assembly line, there are 3…

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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Question

On an assembly line, there are 3 "checkpoints" at which a widget is inspected for defects. Upon review of prior data, the following is noted:

The test for product integrity finds a problem 26% of the time
The test for product specifications finds a problem 19% of the time
The test for packaging consistency finds a problem 38% of the time

(It's not a particularly good assembly line!)

Assume for purposes of this problem, that all of the tests / checkpoint problems are independent of each other.

What is the probability that an error will be found by all of the tests?
What is the probability that an error will be found by any one of the tests? That is, a problem on the first, or second, or third test?
What is the probability that a problem will be found for the "packaging consistency" only?
What is the probability of finding an error of at least one of the tests? Hint: You can use your complement rule here.

Expert Solution

Formulas :

Note: "Since you have posted a question with multiple sub -parts, we will solve first three sub parts for you. To get remaining subpart solved please re post the complete question and mention the sub parts to be solved".

Let A, B and C are said to be three independent events then the probability formulas are given by