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The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from...

The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.8% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick seven first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status. What is the probability that at least two of the freshmen reply "yes"? (Round your answer to four decimal places.)

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