Example - 1: Given the following pdf for the random variable T, the time (in operating hours) 0.001 (0.001 +1)2 t≥0 to failure of a compressor f(t) = (0.001 +1)²' 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)?
Example - 1: Given the following pdf for the random variable T, the time (in operating hours) 0.001 (0.001 +1)2 t≥0 to failure of a compressor f(t) = (0.001 +1)²' 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)?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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![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)2t ≥ 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)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48f9cad4-e52c-419e-96dd-8edc8c011928%2F04284c98-eca4-4297-9b59-a42474e45820%2Fvvtidet_processed.png&w=3840&q=75)
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)2t ≥ 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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