A System Has Two Components That Operate in Parallel, as Shown

question 24

Multiple Choice

A system has two components that operate in parallel, as shown in the following diagram. Because the components operate in parallel, at least one of the components must function properly if the system is to function properly. The probability of failure for components 1 and 2, during one period of operation, is 0.2 and 0.03, respectively. Let F1 denote the event that component 1 fails during one period of operation and F2 denote the event that component 2 fails during one period of operation. The component failures are independent. The probability that the system fails during one period of operation is closest to:

• A)0.23.
• B)0.224.
• C)0.06.
• D)0.006.

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Definitions:

Proposal

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A structured document or presentation that provides information or findings on a specific topic, often resulting from research or analysis.

Introduction

The initial section of a document or speech that sets the context, outlines the purpose, and previews the content to follow.

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To enhance or improve the quality, force, or vigor of something.