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A repair part for an AV-8B Harrier aircraft is transferred from the British to the USMC....

A repair part for an AV-8B Harrier aircraft is transferred from the British to the USMC. Time
between failures for this part has been shown to have an exponential distribution with a mean of
45 months. Records indicate this part was used for 42 months in a British Harrier prior to its
transfer. What is the probability that the part will fail within the next 6.7 months of usage by the
USMC?
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