Suppose that the life distribution of an item has the hazard rate function 1(t) = t³,t > 0. What is the probability that a. the item survives to age 2? b. the item's lifetime is between 0.4 and 1.4? C. a 1-year-old item will survive to age 2?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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Suppose that the life distribution of an item has the hazard rate function 1(t) = t³,t > 0. What is the
probability that
a. the item survives to age 2?
b. the item's lifetime is between 0.4 and 1.4?
C.
a 1-year-old item will survive to age 2?
Transcribed Image Text:Suppose that the life distribution of an item has the hazard rate function 1(t) = t³,t > 0. What is the probability that a. the item survives to age 2? b. the item's lifetime is between 0.4 and 1.4? C. a 1-year-old item will survive to age 2?
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