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Unformatted text preview: Guidance: Use the fact that χ 2 is a special case of Gamma, and the result you proved in the previous problem. 8. Page 323, problem 6.40 Guidance: Use a result from class about the distributions of Y 2 1 and Y 2 2 , and the result you proved in the previous problem. 1 9. Page 323, problem 6.41 10. Page 375, problem 7.49 11. Page 388, problem 7.96 12. Let X 1 ,X 2 ,...,X n be independent random variables, all having a Beta( α , 1) distribution. (a) Prove that X ( n ) also has a beta distribution and identify the parameters. (b) Based on part (a), what is E ( X ( n ) )? 2...
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 Summer '09
 TOM
 Probability distribution, Probability theory, probability density function, Cumulative distribution function

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