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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

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