According to a recent study, students at land-grant universities spend between $650 and $950 per year on textbooks. Suppose that the current average annual cost of all textbooks at state land-grants is $725 per year with a standard deviation of $160. Let x̄ be the current average annual cost of a random sample of 125. What is the probability that the average annual cost of all textbooks in this sample is within $5 of the population mean, i.e., P($675 ≤ x̄ ≤ $775)?

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