Quiz4B - STAT 410 Spring 2008 Version B Name(10 points Quiz...

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STAT 410 Spring 2008 Version B Name _________________________ Quiz 4 (10 points) Be sure to show all your work, your partial credit might depend on it. No credit will be given without supporting work. 1. Let X 1 , X 2 , … , X n be independent random variables, each with the probability density function f ( x ) = ± ² ³ < - 1 0 1 2 3 x x x . Let Y 1 < Y 2 < … < Y n denote the corresponding order statistics. Let n n n Y Z = . Find the limiting distribution of Z n . a) (2) Find the cumulative distribution function F ( x ) = P ( X 1 x ), – < x < .
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  • Spring '08
  • Monrad
  • Probability distribution, Probability theory, probability density function, Cumulative distribution function

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Quiz4B - STAT 410 Spring 2008 Version B Name(10 points Quiz...

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