Number of points earned in the tournament

Reference no: EM131084172

Suppose you participate in a chess tournament in which you play until you lose a game. Since you are a very average player, each game is equally likely to be a win, a loss, or a tie. You collect 2 points for each win, 1 point for each tie, and 0 points for each loss. The outcome of each game is independent of the outcome of every other game. Let Xi be the number of points you earn for game i and let Y equal the total number of points earned in the tournament

(a) Find the moment generating function φ_Y (s).

(b) Find E[Y] and Var[Y].

Reference no: EM131084172

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