kevinzhuzhu 发表于 2007-1-9 06:41

大家帮我看看这几道题,谢谢了..急

<p>1.<br/>Suppose that we want to generate a random variable X that is equally likely to be either 0<br/>or 1, and all that we have at our disposal is a biased coin that, when flipped, lands on<br/>heads with some (unknown) probability p. Consider the following procedure:<br/>1. Flip the coin, and let O1, either heads or tails be the result.<br/>2. Flip the coin, and let O2 be the result.<br/>3. If O1 and O2 are the same, return to step 1.<br/>4. If O2 is heads, set X=0 and, otherwise set X=1.<br/>Show that the random variable X generated by this procedure is equally like to be either 0<br/>or 1.</p>
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