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An automobile undergoing repeated failure and repairs exhibits a nonhomogeneous Poisson process with an intensity function p(t) = e-7.5+0.003 where t is measured in

An automobile undergoing repeated failure and repairs exhibits a nonhomogeneous Poisson process with an 

An automobile undergoing repeated failure and repairs exhibits a nonhomogeneous Poisson process with an intensity function p(t) = e-7.5+0.003 where t is measured in operating hours. (a) Determine the expected number of failures in the first 1000 operating hours. (b) Find R(100). (c) Is the automobile showing deterioration or improvement over time?

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