Device occur according to a nonhomogeneous poisson process

Reference no: EM131130729

The failures of a certain device occur according to a nonhomogeneous Poisson process whose intensity function λ(t) is given by

where t is the age (in years) of the device.

(a) Calculate the probability that a five-year-old device will have exactly two failures over the next 10 years.

(b) Knowing that the device had exactly one failure in the course of the first 5 years of the 10 years considered in (a), what is the probability that this failure took place during its sixth year of use?

Reference no: EM131130729

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