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Suppose that it is believed that 20 percent of people in a certain region of South...

Suppose that it is believed that 20 percent of people in a certain region of South Carolina will become infected by the COVID-19 virus.  Consider a random sample of 200 people taken from this region.  What is the probability that, of these 200 people, more than 25 but fewer than 45 of the people will become infected with the virus?  Use the normal approximation to the binomial to determine this probability.  Verify that the sample size is large enough for the normal approximation to be valid.  Also, suggest a practical reason why this data example may not exactly fit the conditions of a binomial experiment.
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