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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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