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Competitive Stats
Q2Section I (Objective (Q1–Q80))2 of 80

Probability — expectation of a squared conditional mean

If X∼N(0,1)X \sim N(0, 1) and Y∣X=x∼U(x−1,x+1)Y \mid X = x \sim U(x - 1, x + 1), then what is the value of E(E2(Y∣X))E(E^{2}(Y \mid X))?

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