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A man plays a game in which his probability of winning or losing a dollar is t. Let S" be the man's fortune (that is, the amount he has won or lost) after n independent plays of the game.

(i) Find E[S_n] and Var [S_n].

(ii) Find approximately the probability that after 10,000 plays of the game the change in the man's fortune will be between -50 and 50 dollars.

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Category:- Statistics and Probability
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