A mobile phone manufacturer purchases microchips from three suppliers, namely: Samsung, Nokia, and Apple. 30% microchips purchased from Samsung 20% microchips purchased from Nokia 50% microchips purchased from Apple From past experience, information was obtained that the three suppliers provided defective microchips with the following details: 3% defective microchip from Samsung 5% defective microchip from Nokia 4% defective microchips from Apple. When all microchips are received by the Factory from these three suppliers, all microchips are placed directly into the basket and are not checked again. Then, an employee chooses a microchip randomly and the result is that the selected microchip is defective. Question: What is the probability that the microchip picked up was manufactured by Nokia?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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A mobile phone manufacturer purchases microchips from three suppliers, namely: Samsung, Nokia, and Apple.
30% microchips purchased from Samsung
20% microchips purchased from Nokia
50% microchips purchased from Apple

From past experience, information was obtained that the three suppliers provided defective

microchips with the following details:
3% defective microchip from Samsung
5% defective microchip from Nokia
4% defective microchips from Apple.

When all microchips are received by the Factory from these three suppliers, all microchips are placed directly into the basket and are not checked again.
Then, an employee chooses a microchip randomly and the result is that the selected microchip is defective.

Question:
What is the probability that the microchip picked up was manufactured by Nokia?

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