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(5 points) A pump used in water filtration system operates continuously. It has experienced frequent failures because of abnormally heavy loads occurring at random times.

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(5 points) A pump used in water filtration system operates continuously. It has experienced frequent failures because of abnormally heavy loads occurring at random times. Its reliability function has been found to be R(t) = e-t/1000 ; t 2 where t is measured in days. If it has been operating without failure for the last 90 days, what is the probability it will fail within the next 90 days

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