According to an Allstate/National Journal poll, 39% of the U.S. adults polled said that it is extremely

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According to an Allstate/National Journal poll, 39% of the U.S. adults polled said that it is extremely or very likely that “there will be a female president within 10–15 years” in the United States (USA Today, March 28, 2012). Suppose that this percentage is true for the current population of U.S. adults. Find the probability that in a random sample of 800 U.S. adults, more than 330 would hold the foregoing belief.
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