A manufacturer of a robotic system a particular microchip, XG45D from 3 suppliers: Xullion electronics (30%), Sygus Systems (20%), and NESW technologies (50%). Historically, 3% of the XG45D chips from Xullion electronics have been found to be defective, 5% of the XG45D chips from Sygus System have been found to be defective, and 2% of the XG45D chips from NESW technologies have been found to be defective. When the XG45D microchips arrive at the manufacturer, they are placed randomly in a bin. A worker randomly selects the first XG45D microchip from the bin for installation in a robot and finds it defective. 1.1 What is the probability that it was manufactured by Sygus Systems? 1.2 What is the probability that it was manufactured by Xullion electronics? 1.3 Given that another XG45D microchip randomly picked from the bin by the same worker was not defective, what is the probability that it was manufactured by NESW technologies? 1.4 Suppose that the third XG45D microchip randomly picked from the bin by another worker was defective, what is the probability that it was either manuctured by Sygus Systems or by Xullion electronics?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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A manufacturer of a robotic system a particular microchip, XG45D from 3 suppliers: Xullion electronics (30%), Sygus Systems (20%), and NESW technologies (50%). Historically, 3% of the XG45D chips from Xullion electronics have been found to be defective, 5% of the XG45D chips from Sygus System have been found to be defective, and 2% of the XG45D chips from NESW technologies have been found to be defective.

When the XG45D microchips arrive at the manufacturer, they are placed randomly in a bin. A worker randomly selects the first XG45D microchip from the bin for installation in a robot and finds it defective.

1.1 What is the probability that it was manufactured by Sygus Systems?

1.2 What is the probability that it was manufactured by Xullion electronics?

1.3 Given that another XG45D microchip randomly picked from the bin by the same worker was not defective, what is the probability that it was manufactured by NESW technologies?

1.4 Suppose that the third XG45D microchip randomly picked from the bin by another worker was defective, what is the probability that it was either manuctured by Sygus Systems or by Xullion electronics?

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