L8_ECE4001_Fall_2008 - Slide #1 ECE 4001 L8 2008 Lecture 8...

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Unformatted text preview: Slide #1 ECE 4001 L8 2008 Lecture 8 Basic Probability Concepts Slide #2 ECE 4001 L8 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 -- = P( ) y y y - y Slide #3 ECE 4001 L8 2008 Web Based Probability Calculator Slide #4 ECE 4001 L8 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 #5 ECE 4001 L8 2008 * * What is the probability , where is some specific value of ? y y y y > * * Pr( ) Pr( ) y y z z > = > Slide #6 ECE 4001 L8 2008 Z Table (Posted on WebCT) Slide #7 ECE 4001 L8 2008 Z Table Example - z* = 0.75 Slide #8 ECE 4001 L8 2008 Some Z Table Values (Table 5.1 of Hyman) 0.0027 0.00135 3.0 0.0124 0.0062 2.5 0.046 0.023 2.0 0.134 0.067 1.5 0.318 0.159 1.0 0.616 0.308 0.5 1.0 0.5 Two sided probability One sided probability z* 1 2 3 Slide #9 ECE 4001 L8 2008 USL, LSL, and Tolerance LSL = Lower specification limit, USL = Upper specification limit Standard tolerance values assume: Tolerance 3 or 3 y y y y = = = LSL-3 USL 3 Slide #10 ECE 4001 L8 2008 Resistor Example ( ) 4 A batch of resistors is specified as 10 Kohm 5% Find the tolerance R, and ....
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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 Institute of Technology.

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L8_ECE4001_Fall_2008 - Slide #1 ECE 4001 L8 2008 Lecture 8...

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