A prisoner is told that he will be released at a time chosen uniformly at random within the next 24 hours. Let T denote the time that he is released. What is the hazard function for T ? For what values of t is it smallest and largest? If he has been waiting for 5 hours, is it more likely that he will be released in the next few minutes than if he has been waiting for 1 hour?

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

A prisoner is told that he will be released at a time chosen uniformly at random
within the next 24 hours. Let T denote the time that he is released. What is the
hazard function for T ? For what values of t is it smallest and largest? If he has
been waiting for 5 hours, is it more likely that he will be released in the next few
minutes than if he has been waiting for 1 hour?


Solution:

https://www.slader.com/textbook/9780534399429-mathematical-statistics-and-data-analysis-3rd-edition/410/exercises/15/

 

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