8 lognormal distributon (2)

# 8 lognormal distributon (2) - Homework #2 Due September 26,...

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MFG5350 1 Due September 26, 2008 (Friday) 5:00PM Homework #2

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MFG5350 2 October 13, 2008 (Monday) Preliminary presentation for project
MFG5350 3 October 20, 2008 (Monday) Mid-term exam

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MFG5350 4 The Normal Probability Density Function f(t) = 1 2 e , - < t < - 1 2 (t - ) 2 2  MTTF Std Dev
MFG5350 5 Normal Hazard Rate Function f(t) / R(t) IFR

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MFG5350 6 The Bathtub Curve
MFG5350 7 Finding Normal Cumulative Probabilities z = T - If T is normally distributed, then let Then z has a normal distribution with a mean of 0 and a standard deviation of 1. The PDF for z is given by (z) = 1 2 e - z 2 2 Its cumulative distribution is then given by ' } Pr{ dz ) z ( = (z) z Z z - z is the standardized normal deviate

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8 Normal Reliability Function ' 2 1 2 2 2 ) ' ( dt e = R(t) t t t T t R 1 Pr Pr } Pr{ ) (
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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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8 lognormal distributon (2) - Homework #2 Due September 26,...

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