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

question 4

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 functions properly during one period of operation is closest to:

• A)0.994.
• B)0.97.
• C)0.94.
• D)0.776.

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Definitions:

Hypotheses and Theories

Hypotheses are proposed explanations made on the basis of limited evidence as a starting point for further investigation, whereas theories are well-substantiated explanations acquired through the scientific method and repeatedly tested and confirmed through observation and experimentation.

Observed Facts

Information or knowledge directly perceived or convincingly ascertained through the process of observation and empirical investigation.

Scientists

Individuals engaged in systematic activities to acquire knowledge about the natural world through observation and experimentation.

Correspondence Theory

A theory of truth stating that the truth or falsehood of a statement is determined by how it relates to the world and whether it accurately describes (corresponds with) that world.