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According to the 2011 Gallup daily tracking polls (https://www.gallup.com, February 3, 2012), Mississippi is the most conservative U.S. state, with 53.1 percent of its residents

According to the 2011 Gallup daily tracking polls (https://www.gallup.com, February 3, 2012), Mississippi is the most conservative U.S. state, with 53.1 percent of its residents identifying themselves as conservative. What is the probability that at least 50 respondents of a random sample of 100 Mississippi residents do not identify themselves as conservative?

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