Question: Peter is playing a game with two friends. The game is designed to be a game ofchance so that the probability of Peter winning each

Peter is playing a game with two friends. The game is designed to be a game ofchance so that the probability of Peter winning each game is 1/3. Peter and hisfriends play the game 15 times. Find the probability that Peter wins

(a)(i)exactly 2 games,

(ii)more than 2 games.

(b)Find the expected value and standard deviation of winnings of Peter.

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