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(Solved): The time between failures of industrial manufacturing equipment is exponentially distributed with a ...



The time between failures of industrial manufacturing equipment is exponentially distributed with a mean of 8 hours.

What is the probability that the equipment will not fail in a 5-hour period?

The result must have 4 decimal places (for example: 0.0000) if applicable.


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Answer: Let X~exp (mean =8) pdf can be written as, f(
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