Unformatted text preview: . Common Continuous Random Variables Name (Parameters) Lives on… pdf cdf, or ( ≤ ) P X x ( ) E X ( ) Var X (to get ( ) SD X , take the square root of this!) Exponentialλ , ∞ =fx λe λx =  Fx 1 e λx 1λ 1λ2 ( , ) Uniform a b , a b =fx 1b a = Fx x ab a + a b2b a212 ( , ) Weibull λ β , ∞ =fx λβλxβ 1e λxβ Trust me, you don’t want to work with this directly! + 1λΓβ 1β +1λ2Γβ 2β + Γβ 1β2 ( , ) Gamma α λ ,∞ =( ) fx λαxα 1Γ α e λx αλ αλ2 ( , Normal μ σ2 )∞, ∞ You can just use the table or a calculator to get these values…don’t try it by hand unless you REALLY want to! μ σ2 ( ) t df∞, ∞ Depends on the degrees of freedom Note: the gamma function ( ) Γ α is equal to ∞0 xα 1e xdx , but when α is a positive integer, we get the much easier form of =  ! Γα α 1...
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 Spring '07
 TALAURA
 Multiplication, Mutually Exclusive, Probability, Probability theory, Discrete probability distribution

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