Example – 1:Given the following pdf for the random variable T, the time (in operating hours) 0.001 ,t>0 to failure of a compressor f (t) = {(0.001 t+1)²' 0, other wise What is the reliability for a 100 hour operating life ? ii) Find P(10
Example – 1:Given the following pdf for the random variable T, the time (in operating hours) 0.001 ,t>0 to failure of a compressor f (t) = {(0.001 t+1)²' 0, other wise What is the reliability for a 100 hour operating life ? ii) Find P(10
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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
Transcribed Image Text:Example - 1: Given the following pdf for the random variable T, the time (in operating hours)
0.001
to failure of a compressor f(t) = { (0.001 t+1)² 2 0
0, other wise
i)
What is the reliability for a 100 hour operating life ?
ii) Find P(10 <T < 100).
iii) What is the hazard rate or failure rate function h(t) ?
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