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The typical college student graduates with $26,400 in debt (The Boston Globe, May 27, 2012). Let debt among recent college graduates be normally distributed with

The typical college student graduates with $26,400 in debt (The Boston Globe, May 27, 2012). Let debt among recent college graduates be normally distributed with a standard deviation of $8,000.

What is the probability that the average debt of five recent college graduates is more than $23,000?

What is the probability that the average debt of four recent college graduates is more than $30,000?

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