12. A newspaper reports that 350 of the 3500 people living in a small town have...

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12. A newspaper reports that 350 of the 3500 people living in a small town have the flu. The data management class at the local high school has 25 students. a) Do you expect this to be a representative sample? Explain. b) Could you reasonably model this distribution using a normal approximation? Give reasons for your answer. c) Determine the mean and standard deviation of the normal approximation. d) Use the normal approximation to determine the probability that at least 5 of the students have the flu. e) Use technology to compare the answer in part c) to that calculated from the hypergeometric distribution. I 12. A newspaper reports that 350 of the 3500 people living in a small town have the flu. The data management class at the local high school has 25 students. a) Do you expect this to be a representative sample? Explain. b) Could you reasonably model this distribution using a normal approximation? Give reasons for your answer. c) Determine the mean and standard deviation of the normal approximation. d) Use the normal approximation to determine the probability that at least 5 of the students have the flu. e) Use technology to compare the answer in part c) to that calculated from the hypergeometric distribution. I