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A school district has 100 schools, each with 500 students. The average height of students in each school follows a normal distribution with a mean

A school district has 100 schools, each with 500 students. The average height of students in each school follows a normal distribution with a mean of 5 feet and a standard deviation of 2 inches. If a random sample of 10 students is selected from each school, what is the probability that the average height of the sample is greater than 5 feet 2 inches

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