L11_ECE4001_Fall_2008

L11_ECE4001_Fall_2008 - Normal Distribution Probability...

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Slide #1 ECE 4001 L11 © 2008 Lecture 11 Statistical Models Of Manufacturing Reliability Slide #2 ECE 4001 L11 © 2008 Normal Distribution ( ) 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 π - - = P( ) y y y - y 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 = = - = Standard Normal Distribution has a mean of zero and a standard deviation of 1! 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 > = >
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Slide #5 ECE 4001 L11 © 2008 Tail-End-Z-Table (Posted on WebCT) 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 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 values for μ and σ , but want to determine these values by measuring n
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This note was uploaded on 06/09/2009 for the course ECE 4001 taught by Professor Frazier during the Fall '09 term at Georgia Tech.

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L11_ECE4001_Fall_2008 - Normal Distribution Probability...

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