CheatSheetChapters_1-4 _Feb07

# CheatSheetChapters_1-4 _Feb07 - Allowed Reference Sheets...

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Allowed Reference Sheets for IENG 213, First Exam February ’07 © 2004-2007 Steven Guffey, PhD 1/2 No other references or materials allowed 2 ) 1 ( ~ + = n x x 2 ~ 1 2 2 + + = n n x x x = = n i i n x x 1 P= (n-1)! )! ( ! r n n P r = 12 ! ! !... ! r k n P nn n = )! ( ! ! r n r n N r = N n A P = ) ( P= n! ) ( ) ( ) ( ) ( B A P B P A P B A P + = P(A) + P(A’) = 1 false A P A P B A P A B P > = ) ( , ) ( ) ( ) | ( = = = = k i i i k i i B A P B P A B P A P 1 1 ) | ( ) ( ) ( ) ( = = = = k i i i r r k i i r r B A P B P B A P B P A B P A B P A B P 1 1 ) | ( ) ( ) | ( ) ( ) ( ) ( ) | ( ) | ( ) ( ) ( ) | ( B A P A P B P A B P = = < < b a dx x f b X a P ) ( ) ( 1 dx f(x) - = ∑∑ = xy y x f 1 ) , ( ∫∫ = 1 ) , ( dy dx y x f P(a<x<b) = F(b) - F(a) f(x) = dF(x)/dx dx y x f y h = ) , ( ) ( dy y x f x g = ) , ( ) ( = y y x f x g ) , ( ) ( = x y x f y h ) , ( ) 0 ) ( , ) ( ) , ( ) | ( > = y h y h y x f y x f 0 ) ( , ) ( ) , ( ) | ( > = x g x g y x f x y f f(x,y) = g(x) h(y) tells you something

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Allowed Reference Sheets for IENG 213, First Exam February ’07 © 2004-2007 Steven Guffey, PhD 2/2 No other references or materials allowed = = x x f x X E ) ( ) ( μ dx x f x X E = = ) ( ) ( [] = = x x g x f x g X g E ) ( ) ( ) ( ) ( dx x f x g X g E x g = = ) ( ) ( ) ( ) ( Error! Objects cannot be created from editing field codes. Deviation = x- μ [ ] = = x x f X X E ) ( ) ( ) ( 2 2 2 σ () [ ] dx x f x X E = = ) ( 2 2 2 σ 2 = E(X 2 ) - μ 2 ( ) [ ] ( ) [ ] = = x X g X g X g x f X g X g
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CheatSheetChapters_1-4 _Feb07 - Allowed Reference Sheets...

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