Formula Sheet 1

Formula Sheet 1 - Formulae Probability Distributions...

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Formulae Probability Concepts ) ( ) | ( ) ( ) | ( ) ( ) | ( ) | ( ) ( ) ( ) ( : ) ( ) | ( : ) ( ) | ( ) ( ) ( ) ( ) | ( ) ( ) ( ) ( ) ( ) ( 1 ) ( 1 ) ( ) ( ) ( 1 ) ( 0 2 2 1 1 1 1 1 2 1 A P A B P A P A B P A P A B P B A P B P A P B A P ce Independen A P B A P ce Independen B P B A P B A P B P B A P B A P B A P B P A P B A P A P A P E P E P E P E P c k i + = = = = = - + = - = = + + + Probability Distributions - = = = = ) ( ) ( ) ( ] [ 1 ) ( ; 0 ) ( : 2 2 x f x x xf x E x f x f sts DiscreteDi μ σ μ ) 1 ( ] [ ] [ ,..., 1 , 0 ; ) 1 ( )! ( ! ! ) ( : 2 p np x V np x E n x p p x n x n x f Binomial x n x - = = = = = - - = - σ μ λ σ λ λ λ = = = = - 2 ; ] [ ,... 2 , 1 , 0 ; ! ) ( : x E x x e x f Poisson x 12 ) ( 2 ] [ 0 ) ( : 2 2 1 a b b a x E elsewhere b x a x f Uniform a b - = + = = - σ σ μ π σ
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