# Consider the following system: Determine the probability that the system will operate

**QUESTION:**

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Consider the following system:

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Determine the probability that the system will operate under each of these conditions:

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a. The system as shown.

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b. Each system component has a backup with a probability of .90 and a switch that is 100 percent reliable.

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c. Backups with .90 probability and a switch that is 99 percent reliable.

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