Question: 2. Suppose P(X) = 1/3 for X =1, 2, 3, and f(YW) = fe +r )so a) Find E(X) and E E(Y(X). (b) Find Var()')

2. Suppose P(X) = 1/3 for X" =1, 2, 3, and f(YW) = fe +r )so a) Find E(X) and E E(Y(X). (b) Find Var()') and interpret your results. c) Are X' and )' uncorrected? Let Z = 2X - E(X() ) + X Find E(2) Suppose now that A" = 6 is a fixed positive parameter, and you have an ud sample ()i, )'s, ).) of size n from the pdf f(yl0) = fe try > 0, 8 >0 d) Find the MM estimator, .. and the ML estimator, day, of & and comment (e) Let 8., = for be another estimator of &. Compare d. to lay in terms of bias, efficiency and consistency
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