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A large university has a pool that is open to all students during the summer. The university keeps track of who is using the pool

A large university has a pool that is open to all students during the summer. The university keeps track of who is using the pool and how often. Last summer, students made an average of 25 visits to the pool, with an SD of 20 visits. A histogram of the number of times students visited didn't follow the normal curve, however. In fact, about 60% of students did not visit the pool at all. The school is now going to take a survey of students to ask about some changes to the pool. They select 200 students at random to take the survey. For each of the following questions, think carefully about what your box model will be, and show all your calculations to answer it. (a) What is the chance that the average number of visits to the pool among students taking the survey is less than 20 visits? Answer: __________ % (b) What is the chance that the percentage of students taking the survey who didn't visit the pool at all is greater than 50%? Answer: __________ %

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