34. Suppose that the life distribution of an item has hazard rate function (t) = t, t...

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34. Suppose that the life distribution of an item has hazard rate function

λ(t) = t², t > 0. What is the probability that

(a) the item survives to age 2;

(b) the item's lifetime is between 4 and 1.4;

(c) a 1-year-old item will survive to age 2?

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