Q. 2 Given fy (x)=kx'e ?; x20 (a) Find constant k so that it is a pdf; [Hint: Think about gamma distribution] (b) Does X have a x-distribution? If so, what is its degree of freedom?

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Q. 2 Given fr(x) =kx’e ?;
x20
(a) Find constant k so that it is a pdf; [Hint: Think about gamma distribution]
(b) Does X have a x-distribution? If so, what is its degree of freedom?
(c) Find E(X) and Var(X).
Transcribed Image Text:Q. 2 Given fr(x) =kx’e ?; x20 (a) Find constant k so that it is a pdf; [Hint: Think about gamma distribution] (b) Does X have a x-distribution? If so, what is its degree of freedom? (c) Find E(X) and Var(X).
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