Problem

The lung cancer hazard rate λ(t) of a t-year-old male smoker is such thatλ(t) = .027 + .00...

The lung cancer hazard rate λ(t) of a t-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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