Test1FormulaSheet - Continuous Uniform f x a b = 1 b − a...

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STA 3032 - Section 7661 - Fall 2011 - Test 1 Please write your name and UF ID number on the scantron and answer all questions on the scantron that is provided to you with a # 2 pencil only. You may write on the test sheet. Anything you write on the test sheet will not be graded. It may help to derive some answers from scratch if you cannot recall something from memory. Discrete Uniform f ( x ; a, b )= 1 N ,x { a, a +1 ,...,b 1 ,b } where N = b a +1 Bernoulli f ( x ; p )= p x (1 p ) 1 x ,x { 0 , 1 } Binomial f ( x ; n, p )= ° n x ± p x (1 p ) n x ,x { 0 , 1 ,...,n } Poisson f ( x ; λ )= e λ λ x x ! ,x { 0 , 1 , 2 ,... } Geometric f ( x ; p )= p (1 p ) x 1 ,x { 1 , 2 ,... } Negative Binomial f ( x ; r, p )= ° x 1 r 1 ± p r (1 p ) x r ,x { r, r +1
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Unformatted text preview: , . . . } Continuous Uniform f ( x ; a, b ) = 1 b − a , x ∈ [ a, b ] Normal f ( x ; μ, σ 2 ) = 1 √ 2 πσ 2 exp ° − 1 2 σ 2 ( x − μ ) 2 ± , x ∈ ( −∞ , ∞ ) Gamma f ( x ; α , β ) = 1 Γ ( α ) β α x α − 1 exp( − x/ β ) , x ∈ [0 , ∞ ) Exponential f ( x ; β ) = 1 β exp( − x/ β ) , x ∈ [0 , ∞ ) Beta f ( x ; α , β ) = Γ ( α + β ) Γ ( α ) Γ ( β ) x α − 1 (1 − x ) β − 1 , x ∈ [0 , 1] You may use any of the above formulae and/or the attached Normal Table for your calcula-tions....
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