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Q6Section A (Section A)6 of 60

Parameter-free conditional expectation for normal

Let X1,X2,X3X_1, X_2, X_3 be a random sample from an N(θ,1)N(\theta, 1) distribution, where θ∈R\theta\in\mathbb{R} is an unknown parameter. Then, which one of the following conditional expectations does NOT depend on θ\theta?

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