12% of children of kindergarten age in the U.S. are nearsighted. A nurse examines a random sample of 432 physical exams from their school. This information can be modeled with a Binomial probability model.
1. Find the mean and standard deviation of the Binomial model for the number of children in the sample who are nearsighted.
2. Use binomcdf to determine the probability that at most 55 of the 432 students whose records were examined are nearsighted.
3. By the Normal approximation to the Binomial, use normalcdf to determine the same probability that at most 55 of the students are nearsighted.
4. By the Normal approximation to the Binomial, use normalcdf to determine the probability that at least 48 of the students are nearsighted.
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