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a. Derive the distribution of the sample mean X of independent Xi,... , Xn where, What x, ~「(α, β). Find a transformation of X that follows a X2 distribution. are the degrees of freedom of this transformation? b. Suppose l and X2 are independent with I(a, 1) and I(e+ , 1) distributions. Let Y = 2VNX2. Find EY and var(Y).

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Answer #1

うぃー~ 2h χ70 oL 2.X2 callu plate Une am ima (a, p) a V/a)E(x) 2. 2.E(2) viy)- E(y)- Y)

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