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Chapter 5: Q.5.35 (page 214)
The lung cancer hazard rateof a -year-old male smoker is such that
Assuming that a -year-old male smoker survives all other hazards, what is the probability that he survives to
ageand age 60 without contracting lung cancer?
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You arrive at a bus stop at a.m., knowing that the bus will arrive at some time uniformly distributed between and .
(a) What is the probability that you will have to wait longer than minutes?
(b) If, at , the bus has not yet arrived, what is the probability that you will have to wait at least an additional minutes?
Suppose that the life distribution of an item has the hazard rate function. What is the probability that
the item survives to age
the item鈥檚 lifetime is betweenand
a year-old item will survive to age
Compute the hazard rate function of when is uniformly distributed over.
If percent of the population of a large community is in favor of a proposed rise in school taxes, approximate the probability that a random sample of people will contain
(a) at least who are in favor of the proposition;
(b) between and inclusive who are in favor;
(c) fewer than in favor.
Prove Theorem 7.1 when g(x) is a decreasing function.
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