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Determine the expected value of the number guessed by the

A radio show conducts a game according to the following rules. A number between 1 and 100 is selected at random, and the disc jockey announces what number is chosen. Call it n.The announcer then randomly selects a number between 1 and n and asks that the rst caller guess the value of the second number chosen. Assuming that the caller's guess isequally likely to be any number between 1 and n, determine the expected value of the number guessed by the caller.

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