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In: Statistics and Probability

The optimal scheduling of preventative maintenance tests of some (but not all) of n independently operating...

The optimal scheduling of preventative maintenance tests of some (but not all) of n independently operating components was developed. The time (in hours) between failures of a component was approximated by an exponentially distributed random variable with mean 1700 hours. [Round to 4 decimal places where necessary.]

Find the probability that the time between a component failures ranges is at least 1700 hours.

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Find the probability that the time between a component failures ranges between 1700 and 2200 hours.

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Suppose a component is still working after 1700 hours, find the conditional probability that it will fail before 2200 hours.

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Suppose 8 components are tested. What is the probability that 1 of them failed between 1700 and 2200 hours?

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If 8 components are tested, find the probability that at least 1 of them failed between 1700 and 2200 hours

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orchestra answered 1 year ago
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