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Mathematics, 30.04.2021 17:30 zakwolthuis

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $8; if the faces are both heads, you win $4; if the coins do not match (one shows a head, the other a tail), you lose $2 (win (−$2)). Calculate the mean and variance of Y, your winnings on a single play of the game. Note that E(Y) > 0.

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