Question

The average student loan debt for college graduates is $25,350. Suppose that that distribution is normal...

The average student loan debt for college graduates is $25,350. Suppose that that distribution is normal and that the standard deviation is $14,750. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.

a. What is the distribution of X? X ~ N( , )

b Find the probability that the college graduate has between $8,000 and $26,300 in student loan debt.

c. The middle 10% of college graduates' loan debt lies between what two numbers? Low: $ High: $

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