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A gambler initially having one chip participates in up to five rounds of gambling. In each...

A gambler initially having one chip participates in up to five rounds of gambling. In each round, the gambler bets all of her chips, and with probability one half, she wins, thereby doubling the number of chips she has, and with probability one half, she loses all her chips. Let X denote the number of chips the gambler has after five rounds.

what is the standard deviation of X with three significant figures, e.g. 1.23?

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