9. (a) Prove that ) n=1(1/2 1/2n, 1/2 + 1/2n) = {1/2}. (b) Using part (a),

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9.

(a) Prove that )∞ n=1(1/2 − 1/2n, 1/2 + 1/2n) = {1/2}.

(b) Using part (a), show that the probability of selecting 1/2 in a random selection of a point from (0, 1) is 0.

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