7.5.11. Let X1, X2,..., Xn, n > 2, be a random sample from the binomial distri- bution b(1,0). 440 Sufficiency (a) Show that Y₁ = X₁ + X₂ + + Xn is a complete sufficient statistic for 0. (b) Find the function (Y₁) that is the MVUE of 0. (c) Let Y₂ (X₁ + X₂)/2 and compute E(Y₂). (d) Determine E(Y₂Y₁ = y₁). =

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Can you just answer question (d)
7.5.11. Let X₁, X2,..., Xn, n > 2, be a random sample from the binomial distri-
bution b(1,0).
440
(a) Show that Y₁ = X₁ + X₂ +
(b) Find the function (Y₁) that the MVUE of 0.
(c) Let Y₂ = (X₁ + X₂)/2 and compute E(Y₂).
(d) Determine E(Y₂|Y₁ = 9₁).
Sufficiency
+ Xn is a complete sufficient statistic for 0.
Transcribed Image Text:7.5.11. Let X₁, X2,..., Xn, n > 2, be a random sample from the binomial distri- bution b(1,0). 440 (a) Show that Y₁ = X₁ + X₂ + (b) Find the function (Y₁) that the MVUE of 0. (c) Let Y₂ = (X₁ + X₂)/2 and compute E(Y₂). (d) Determine E(Y₂|Y₁ = 9₁). Sufficiency + Xn is a complete sufficient statistic for 0.
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