According to a survey about conspiracy​ theories, about 3​% of adults in a certain country believe that​ shape-shifting reptilian people control our world by taking on human form and gaining power. Assume​ that's the actual proportion of adults in the country who hold that belief.
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​a) Use a Binomial model to calculate the probability​ that, in a sample of 200 ​adults, at least 4​% of those in the sample believe the thing about reptilian people controlling our world.
.254 ​(Round to three decimal places as​ needed.)