The guidance system of a ship is controlled by a computer that has three major modules. In order for the computer to function properly, all three modules must function. The modules have reliabilities of 97%, 95%, and 99%. What is the reliability of the computer?  A backup computer identical to the one being used will be installed to improve overall reliability. Assuming the new computer automatically functions if the main one fails, determine the resulting reliability. If the backup computer must be activated by a switch in the event that the first computer fails, and the switch has a reliability of 98%, what is the overall reliability of the system? Both the switch and the backup computer must function in order for the backup to take over.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The guidance system of a ship is controlled by a computer that has three major modules. In order for the computer to function properly, all three modules must function. The modules have reliabilities of 97%, 95%, and 99%. What is the reliability of the computer? 
A backup computer identical to the one being used will be installed to improve overall reliability. Assuming the new computer automatically functions if the main one fails, determine the resulting reliability.
If the backup computer must be activated by a switch in the event that the first computer fails, and the switch has a reliability of 98%, what is the overall reliability of the system? Both the switch and the backup computer must function in order for the backup to take over.

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