Question: 3. Consider the following game: A player flips a fair coin n times. The coin flips are independent and each flip costs the player 1

3. Consider the following game: A player flips a fair coin

3. Consider the following game: A player flips a fair coin n times. The coin flips are independent and each flip costs the player 1 dollar. After n flips, the player gets a prize worth X2 + X dollars where X is the number of heads in the n coin flips. Find the expected value of the player's net earnings (note: net earnings = prize - cost)

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