chap12_2010

# Chap12_2010 - Chapter 12 Continuous Random Variables and their Probability Distributions Probability Distributions of a Continuous Random Variable

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Chapter 12 Continuous Random Variables and their Probability Distributions

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Probability Distributions of a Continuous Random Variable For a continuous random variable X, a probability density function such that 0 ) ( x f - = 1 ) ( dx x f b to a from x f under area dx x f b x a P b a ) ( ) ( ) ( = = 0 ) ( = = x X P
Probability Distributions of a Continuous Random Variable For a continuous random variable X, a probability cumulative function: - = = x du u f x X P x F ) ( ) ( ) (

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Mean & Standard Deviation of a Continuous Random Variable 2 2 2 2 ) ( ) ( ) ( ) ( μ σ - = - = = - - dx x f x dx x f x X V 2 σ= - = = dx x xf X E ) ( ) (
Continuous Probability Distributions Continuous Uniform Distribution Normal Distribution Exponential Distribution Erlang and Gamma Distributions Weibull Distribution Lognormal Distribution Beta Distribution

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Probability Density Function
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## This note was uploaded on 12/03/2011 for the course EIN 5226 taught by Professor Staff during the Fall '11 term at FIU.

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Chap12_2010 - Chapter 12 Continuous Random Variables and their Probability Distributions Probability Distributions of a Continuous Random Variable

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