What is the probability that at most five of the freshmen reply yes? The Higher Education Research

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What is the probability that at most five of the freshmen reply “yes”?

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.
71.3% 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 eight 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.

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