The lung cancer hazard rate (t) of a -year-old male smoker is such that (t) = .027

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The lung cancer hazard rate λ(t) of a -year-old male smoker is such that

λ(t) = .027 + .00025(t - 40)2      t ≥ 40


Assuming that a 40-year-old male smoker survives all other hazards, what is the probability that he survives to (a) age 50 and (b) age 60 without contracting lung cancer?

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