Question: Let variables X and Y be independent, each with U[0, 1] distribution. Find: (i) P(X + Y 0.5 | X = 0.25). (ii) P(X

Let variables X and Y be independent, each with U[0, 1] distribution. Find: (i) P(X +

Y ≤ 0.5 | X = 0.25). (ii) P(X + Y ≤ 0.5 | X ≥ 0.25). (iii) P(X ≥ Y | Y ≥ 0.5).

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