Suppose that the life distribution of an item has the hazard rate function (t) = t3, t

Question:

Suppose that the life of an item has the hazard rate function λ(t) = t3, 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?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...