# 5 (2) - Constant Failure Rate Model Exponential Probability...

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MFG5350 1 Lecture 5 Constant Failure Rate Model Exponential Probability Distribution

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MFG5350 2 Lecture 5 The Bathtub Curve
MFG5350 3 Lecture 5 The Exponential Distribution 0 t , = (t) 0 t , e = e = R(t) t - dt - t 0 ' Then Let

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MFG5350 4 Lecture 5 0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.0000 0 2 4 6 8 10 12 14 16 time lambda =.25 lambda =.50 lambda =1.0
MFG5350 5 Lecture 5 The CDF and PDF e - 1 = F(t) t - e = dt F(t) d = f(t) t -

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MFG5350 6 Lecture 5 Probability Density Function (PDF)
MFG5350 7 Lecture 5 The MTTF 1 = - e = dt e = MTTF t - t - 0 0 | .368 = e = e = R(MTTF) 1 - -MTTF note that or 0 1 te t e 2.718

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MFG5350 8 Lecture 5 The Standard Deviation 2 t - 2 0 2 1 = dt e 1 - t = and MTTF 1
MFG5350 9 Lecture 5 The Median Time to Failure .69315 = .5 1 - = t med ln = .69315 MTTF R t e t ( ) . 5

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MFG5350 10 Lecture 5 The Design Life R

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## This note was uploaded on 04/25/2010 for the course IE 654 taught by Professor Smith during the Spring '10 term at 카이스트, 한국과학기술원.

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5 (2) - Constant Failure Rate Model Exponential Probability...

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