According to a 2013 poll from public policy polling, 4% of american voters believe that shape- shifting reptilian people control our world by taking on human form and gaining power. yes, you read that correctly! (this was a poll about conspiracy theories.) assume that’s the actual proportion of americans who hold that belief. a) use a binomial model to calculate the probability that, in a random sample of 100 people, at least 6%, i. e. p(x≥6), of those in the sample believe the thing about reptilian people controlling our world. b) use a normal model approximation to the binomial (with or without continuity correction; it works "better" with the correction) to calculate the same probability. how does this compare with the answer in part a)? c) that same poll found that 51% of american voters believe there was a larger conspiracy responsible for the assassination of president kennedy. use a binomial model to calculate that, in a random sample of 100 people, at least 57% of those in the sample believe in the jfk conspiracy theory. d) use a normal model approximation to the binomial (with or without the continuity correction; it works "better" with the correction) to calculate the same probability. how does this compare with the answer in part c)? e) what do these answers tell you about the importance of checking that np and nq are both at least 10?