Question

Suppose you participate in a chess tournament in which you play n games. In each game, you are equally likely to win, lose, or tie, and the outcome of each game is independent of the outcome of every other game. You collect 2 points for each win, 1 point for each tie, and 0 points for each loss. Let Y be the total number of points earned over the n games. Find E[Y ] and Var[Y ].

Answer 1

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