Solved: The rail shuttle cars at atlanta airport have a dual, Basic Statistics

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The rail shuttle cars at atlanta airport have a dual

Question: The rail shuttle cars at Atlanta airport have a dual electrical braking system. A rail car switches to the standby system automatically if the first system fails. If both systems fail, there will be a crash! Assume that the life of a single electrical braking system is exponentially distributed, with a mean of 4,000 operating hours. If the systems are inspected every 5,000 operating hours, what is the probability that a rail car will not crash before that time?

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