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In a recent survey of college professors, it was found that the average amount of money spent on entertainment each week was normally distributed with

In a recent survey of college professors, it was found that the average amount of money spent on entertainment each week was normally distributed with a mean of $95.25 and a standard deviation of $27.32. What is the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.50?

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