Answered: The city of San Fransokyo is a…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter10: Matrices

Section10.1: Solution Of Linear Systems

Problem 46E

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The city of San Fransokyo is a high-tech city, especially in the field of robotics. There are three big companies that rule the city: Granville, Axcel, and Hamada. The Granville company controls about 50% of the total robot manufacturing in the city of San Fransokyo; Axcel company controls 35%; while the rest is controlled by the Hamada company. Based on the information you have obtained, it turns out that 3% of the robots made by Granville have problems with the sensing ability of the robot. As much as 5% robots made by Axcel and 1% robots made by Hamada also have the same problem. You want to buy a robot to help with your business and randomly pick up exactly one robot from the three companies. After the item arrives, you do a test, and it turns out that the robot is experiencing a malfunction in its sensing component. Using the Bayes Rule approach, which company is predicted to make the robot you bought? Justify your answer with adequate calculations!

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