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A possesses a weighted coin with a chance of p that each flip will land on heads. He flips the coin repeatedly, stopping when either

A possesses a weighted coin with a chance of p that each flip will land on heads. He flips the coin repeatedly, stopping when either heads or n total flips have been done (whichever comes first). The number of times the coin is flipped is denoted by Y. Give the PMF of Y and demonstrate that it meets the two properties.

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