Question: The engine operates in three modes: normal, boost and idle. The probability of failure is 0 . 0 5 in idle, 0 . 1 in

The engine operates in three modes: normal, boost and idle. The probability of failure is 0.05 in idle, 0.1 in normal and 0.7 in boost mode. The engine runs 70% of the time in normal mode and 20% of the time in boost mode.

What is the probability of engine failure during operation? 
 

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