formulas

formulas - WRITE YOUR NAME AND STUDENT NUMBER. Name:...

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1 | Page WRITE YOUR NAME AND STUDENT NUMBER. Name: Student No.: NOTE : One two-sided formula sheet is allowed. It is highly recommended that you make your own formula sheet, but if you choose to use this one, you definitely need to double check and complete it. Probability ] [ ] [ ] | [ ] | [ A P B P B A P A B P = Generalized Baye’s Rule = = = = k i i k i i i r r r B P B P B A P B B A P A B P 1 1 1 ] [ , ] [ ] | [ ] Pr[ ] | [ ] | [ Fusion ] ' [ ] ' | [ ] ' | [ ] [ ] | [ ] | [ ] [ ] | [ ] | [ ] | [ 2 1 2 1 2 1 2 1 B P B A P B A P B P B A P B A P B P B A P B A P A A B P + = )! ( ! m n n P n m = )! ( ! ! m n m n C n m = )! 1 ( ! )! 1 ( ) ( + = n m n m C n r m Normal standard σ x x z i i = Binomial ) 1 ( , ) 1 ( ! )! ( ! ) ( P nP nP P P x x n n x p x n x = = = μ Poisson nP e x nP x p nP x = = = ! ) ( ) ( () = x dx x p x F ) ( = b a dx x p b X a P ) ( +∞ = = 1 ) ( 0 dx x p +∞ = = dx x xp x ) ( 1 2 2 2 2 2 ) ( ) ( x dx x p x dx x p x x = = = + +∞ +∞ = = dx x p x x Sk ) ( ) ' ( 3 3 Statistics: n x n x x n i i = = = 1 1 = = = = n i i n i i x x n x x x S 1 2 2 1 2 2 1 ) ( 1 ν n S t x z x x x P v P i 1 1 , + ± = ± = n S S S t x z x x x x x P v x P = ± = ± = , ' 2 2 / 1 2 2 2 2 / 2 α χ x x S S 2 = E z n p Note: Consider the one-sided confidence bounds. Practice reading z, t, chi from 1-sided and 2-sided tables. n x x z 0 0 = n S x x t x 0 0 = 2 0 2 2 0 x S = Note: P-value is the rejection area with respect to z 0 , t 0 , or X 0 .
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formulas - WRITE YOUR NAME AND STUDENT NUMBER. Name:...

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