A light bulb blows out at a rate of = 0.001/h. What is the probability that

A light bulb blows out at a rate of λ = 0.001/h. What is the probability that it blows out in less than 500 h? In less than 1 h? Compare your last answer with the definition of rate.
Find the probabilities of the above events. Find the associated p.d.f., c.d.f., and survivorship function, and give the expectation and variance.