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    • Thread Starter

    I am trying to do the following question:

    The lifetime X (in years) of an item has a rate function λX(t) = t^2 + t^4for t > 0. What is the probability that
    a) an item survives to age 1?
    b) an item’s lifetime is between .5 and 1.5?
    c) a 1/2 year old item will survive to age 1?
    d) Now suppose the rate has doubled and let Y be the new lifetime with respect to the rate function 2λX(t).
    What is P(Y > 1|Y > .5)?

    I'm not sure how to tackle this question. In my book it says that the hazard rate function is defined by \lambda(t)=\frac{f(t)}{\bar F(t)}

    (Original post by aspiring_doge)
    Answered in the other copy of this thread.

    Thread closed, duplicate. See the other one.
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Updated: February 11, 2016
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