A pump operates 1000 hours/year. Under a minimal repair concept, the pump failures generated anon-homogenous Poisson process having the following intensity function with t measured inoperating hours: p(t) = 0.00003t²a. From the information given, is the rate of occurrence of failure (ROCOF) increasing, decreasing orremaining constant?b. Calculate the number of expected failures of the pump over 1000 hours of operation.c. Calculate the MTBF for the 1000-hour operation.d. The repair time of the pump is best described by the following probability density functionh (t) = for 0 ≤ t ≤ 3 hours. What is the mean time to repair, in hours?e. What is the inherent availability of the pump over the 1000 hours?

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Answered: genous Poisson process having the…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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