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A player tosses 8 coins and observes the total number, M, of heads. He then tosses M coins and observes the total number, N, of

A player tosses 8 coins and observes the total number, M, of heads. He then tosses M coins and observes the total number, N, of heads. He further tosses N coins to observe the total number, Z, of heads. Determine the expectation of Z.

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