Suppose X₁,..., Xn is a random sample from the Gamma distribution Gamma(a, 3), i.e., the density of each X; is fx(x) = = 1 r(a) Ba a-1-x/p e "Xº */³, x>0. (a) Assuming a is known, find a method of moment and maximum likelihood estimates for B. (b) If both a and 3 are unknown, write out an equation that is used to solve for the maximum likelihood of a.

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