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

question 35

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 event corresponding to the above system failing during one period of operation is:

• A)F1 and F2.
• B)F1 or F2.
• C)not F1 or not F2.
• D)not F1 and not F2.

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Definitions:

Aggregate Supply

The aggregate amount of products and services that companies in an economy intend to sell over a particular time frame.

Deficit

A financial situation where expenses exceed income or imports exceed exports.

National Debt

The total amount of money that a country's government has borrowed, by various means, to fund its expenditures beyond what it collects in taxes.

Decreasing Rate

A situation where the rate or speed of a process or value is diminishing over time.