07_08 - STAT 410 Examples for 07/08/09 Summer 2009 Normal...

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Unformatted text preview: STAT 410 Examples for 07/08/09 Summer 2009 Normal (Gaussian) Distribution . mean standard deviation 2 , N ( 29 ( 29 2 2 2 2 1 -- = x e x f , - < x < . Standard Normal Distribution . mean 0 standard deviation 1 N ( , 1 ) Z ~ N ( , 1 ) X ~ N ( , 2 ) X Z- = X = + Z ___________________________________________________________________________ EXCEL: ( Z Standard Normal N ( , 1 ) ) = NORMSDIST( z ) gives ( z ) = P( Z z ) = NORMSINV( p ) gives z such that P( Z z ) = p = NORMDIST( x , , , 1 ) gives P( X x ), where X is N ( , 2 ) = NORMDIST( x , , , ) gives f ( x ), p.d.f. of N ( , 2 ) = NORMSINV( p , , ) gives x such that P( X x ) = p , where X is N ( , 2 ) ___________________________________________________________________________ 1. Let X be normally distributed with mean and standard deviation ....
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This note was uploaded on 10/29/2009 for the course STAT 410 taught by Professor Alexeistepanov during the Summer '08 term at University of Illinois at Urbana–Champaign.

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07_08 - STAT 410 Examples for 07/08/09 Summer 2009 Normal...

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