Determining mean of exponential distribution


Assignment:

The mean time between failures (MTBF) of a hydraulic press is to be estimated assuming that the time between failures (TBF) is exponentially distributed. A foreman observes that the chance that the TBF is more than 72 hours is 50%, and he quotes 72 hours as the MTBF.

a. Is the foreman right? If not, what is the MTBF?
b. If the MTBF is indeed 72 hours, 50% of the time the TBF will be more than how many hours?
c. Why is the mean of an exponential distribution larger than its median?

Your answer must be typed, double-spaced, Times New Roman font (size 12), one-inch margins on all sides, APA format and also include references.

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Basic Statistics: Determining mean of exponential distribution
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