b) (6 points) A system has two components that operate in parallel, as shown in the...

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b) (6 points) A system has two components that operate in parallel, as shown in the diagram below. Because the components operate in parallel, at least one of the components must function properly if the system is to work properly. The probabilities of failures for components 1 and 2 during a particular period of operation are 0.30 and 0.04, respectively. Let F denote the event that component 1 fails during this period of operation and G denote the event that component 2 fails during this period of operation. The component failures are assumed to be independent. Input Output What is the probability that the system functions properly during this particular period of operation? (Show work) Round your answer to 3 decimal places. b) (6 points) A system has two components that operate in parallel, as shown in the diagram below. Because the components operate in parallel, at least one of the components must function properly if the system is to work properly. The probabilities of failures for components 1 and 2 during a particular period of operation are 0.30 and 0.04, respectively. Let F denote the event that component 1 fails during this period of operation and G denote the event that component 2 fails during this period of operation. The component failures are assumed to be independent. Input Output What is the probability that the system functions properly during this particular period of operation? (Show work) Round your answer to 3 decimal places.