Question: A nuclear plant is controlled by a system with 3 distinct modules. All 3 modules must function for the plant to operate safely. The modules

A nuclear plant is controlled by a system with 3 distinct modules. All 3 modules must function for the plant to operate safely. The modules have 0.99, 0.90 and 0.88 probabilities of functioning. A backup system that uses identical components is activated automatically if one of the modules in the primary system fails. The backup switch has 100% reliability. What is the probability of the entire system functioning? ( round your final answer to 4 decimal places )

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