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Lecture10_Manufacturing Reliability

# Lecture10_Manufacturing Reliability - Lecture 11...

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Slide #1 ECE 4001 L11 © 2008 Lecture 11 Statistical Models of Manufacturing Reliability

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Slide #2 ECE 4001 L11 © 2008 Normal Distribution ( 29 2 2 2 1 P( ) 2 where is the mean value of the variable and is the standard deviation of the variable Probability density function for a normal distribution is give . y n b y y y y y y y e μ σ σ π μ σ - - = P( ) y y y σ - y σ μ
Slide #3 ECE 4001 L11 © 2008 Transformation From The Normal Distribution To The Standard Normal Distribution Assume we have a of the variable with: mean value of standard de Normal Distribution Standard Normal Distr viation of The is the transformation from to via: ibution Th e y y y y y y y y z y z μ σ μ σ = = - = Standard Normal Distribution has a mean of zero and a standard deviation of 1!

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Slide #4 ECE 4001 L11 © 2008 * * What is the probability , where is some specific value of ? y y y y * * Pr( ) Pr( ) y y z z =
Slide #5 ECE 4001 L11 © 2008 Tail-End-Z-Table (Posted on WebCT)

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Slide #6 ECE 4001 L11 © 2008 Standard Normal Cumulative Probability Table – Page 1
Slide #7 ECE 4001 L11 © 2008 Standard Normal Cumulative Probability Table – Page 2

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Slide #8 ECE 4001 L11 © 2008 Sampling a Normally Distributed Process Suppose a process is normally distributed with a mean of µ and a standard deviation of σ. Further, suppose that you do not know the
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Lecture10_Manufacturing Reliability - Lecture 11...

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