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:

Conserve Quantity

The ability to understand that physical properties of objects, such as volume and mass, remain the same even when their outward appearance changes.

Formal Schooling

Education provided in a systematic and structured environment such as schools, following a specific curriculum.

Interdependent Culture

Societies or groups where individuals see themselves as part of a larger community, prioritizing group goals over individual achievements.

Collectivist Values

Cultural values that emphasize the needs, goals, and views of the group over those of the individual.