fa,f (x) =Fox -e Ox for allx 2 0. The I function is defined by T (s) = xtte * dx. As usual, the constant - is a normalization constant that gives...

The Gamma distribution with paramters 

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fa,f (x) =Fox -e Oxfor allx 2 0.The I function is defined byT (s) =xtte * dx.As usual, the constant- is a normalization constant that gives ffa,, (x) dx = 1.In this problem, let X1, ..., Xn be i.i.d. Gamma variables withB = -for some a > 0.That is, X1, ..., Xn ~ Gamma (a, . random variables for some a > 0. The pdf for X; is therefore1fa (x) =T(a)ga x -e x/a,for all x 2 0.