plugin-formulas_ce408_Final_exam

# plugin-formulas_ce408_Final_exam - Formulas ( A B ) C = AC...

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Formulas , , , , , AB () CA C B C = C AC = E 1 E 2 E 1 E 2 = E 1 E 2 E 1 E 2 = PA 1 = B PB PAB + = PAE j PE j j 1 = n = i A i i -------------------------------- = --------------- = PABE j j B j 1 = n = = EgX [] gx i p X x i x i = f X x x d = EX x i p X x i x i µ X == xf X x x d X Var X x i 2 p X x i x i σ X 2 = = Var X x 2 f X x x d X 2 X 2 2 2 = δ X X / X = f X x 1 2 π -------------- 1 2 -- x -----------   2 exp = s x = f X x 1 2 π ζ x ---------------- 1 2 x ln λ ----------------- 2 exp = s x ln = exp 1 2 2 + = 2 2 e 2 1 = x m ln = x m 1 2 + = 2 1 2 + ln = PX x = n x p x 1 p nx = np = 2 1 p = n x n ! x ! ! ----------------------- = PT t = p 1 p t 1 = 1 p = 2 1 p p 2 = k t = t 1 k 1 p k 1 p tk = t x = ν t x x ! e t = µν t = 2 t = f T t e t = F T t 1 e t = t 0 1 = 2 1 2 = f T k t νν t k 1 k 1 ! --------------------- e t = F T k t 1 t x x ! e t x 0 = k 1 = t 0 x = m x Nm N n = N total # = m # defective in total = n sample size = x # defective in sample = f X x 1 ba = axb << ab + 2 = 2 2 12 =

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Formulas (continued) , f XY xy () f , f Y y = σ X 2 EX 2 [] 2 = Cov , EXY EY = ρ , Cov , X Y = p X x p XY i , y i = f X x f , y d = f , 2 F , x y ---------------------------- = f Y y f X g 1 y d g 1 y dy ----------------- = Zg X Y , = F Z z ( ) f , x d y d = all x and y such that zg x y , = Za i X i i 1 = n = µ Z a i X i i 1 = n = Z 2 a i a j Cov X i X j , j 1 = n i 1 = n = X 1 X 2 X n ,,, = Z g X 1 X 2 X n ,, , ( ) (first order) g X 1 X 2 X n , 1 2 -- c ij Cov X i X j , j 1 = n i 1 = n (second order) + Z 2 c i c j Cov X i X j , j 1 = n i 1 = n (first order) where: c 2 g x i x j X 1 X
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## This note was uploaded on 01/02/2012 for the course CIVIL ENG 408 at USC.

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plugin-formulas_ce408_Final_exam - Formulas ( A B ) C = AC...

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