Let X have a gamma distribution with parameters a > 2 and 3 > 0. (a)...

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Let X have a gamma distribution with parameters a > 2 and 3 > 0. (a) Prove that the mean of 1/X is B/(a - 1). (b) Prove that

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solution :- Х. have a with parameter Gramma distribution dza and ß>o Then The Pdt of x is Ba xli e Bac T 270 5x (20) = ow The Now ape_p? _ x + 282 variance of Ź is var ) Eltz) LE(+] (2-1)(-2) (8–1982- (2-2) B? (2-1)² (4-2) p² (2-1)2 = (2-2 (1-2) 2 Var

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