An electronics company purchases a particular component from two sources: "Supplier A" and "Supplier B". The following statistics were gathered by testing a large number of the components to see if they worked properly: .1% of all components from Supplier A failed. -2% of all components from Supplier B failed.. After combining all components from these two suppliers in a large bin, the probability of randomly selecting a non-working component from Supplier A was 0.1%. Answer these questions and show all of your work: 1. Given that a component did not fail, what is the probability that it came from Supplier A? 2. Given that a component failed, what is the probability that it came from Supplier B? 3. What is the ratio of the # failed components from Supplier B to the # failed components from Supplier A?
An electronics company purchases a particular component from two sources: "Supplier A" and "Supplier B". The following statistics were gathered by testing a large number of the components to see if they worked properly: .1% of all components from Supplier A failed. -2% of all components from Supplier B failed.. After combining all components from these two suppliers in a large bin, the probability of randomly selecting a non-working component from Supplier A was 0.1%. Answer these questions and show all of your work: 1. Given that a component did not fail, what is the probability that it came from Supplier A? 2. Given that a component failed, what is the probability that it came from Supplier B? 3. What is the ratio of the # failed components from Supplier B to the # failed components from Supplier A?
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...
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Transcribed Image Text:An electronics company purchases a particular
component from two sources: "Supplier A" and
"Supplier B". The following statistics were gathered by
testing a large number of the components to see if they
worked properly: • 1% of all components from Supplier
A failed. • 2% of all components from Supplier B failed..
After combining all components from these two
suppliers in a large bin, the probability of randomly
selecting a non-working component from Supplier A
was 0.1%. Answer these questions and show all of
your work: 1. Given that a component did not fail, what
is the probability that it came from Supplier A? 2.
Given that a component failed, what is the probability
that it came from Supplier B? 3. What is the ratio of
the # failed components from Supplier B to the # failed
components from Supplier A?
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