Example-1: Given the following pdf for the random variable T, the time (in operating hours)0.001to failure of a compressor f(t) = (0.001 t+1)2t ≥ 00, other wisei) 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)?

Let T be the time to failure of a compressor.From the given information, the probability density…

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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