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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?

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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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