Question

The average student loan debt for college graduates is $25,900. Suppose that that distribution is normal...

The average student loan debt for college graduates is $25,900. Suppose that that distribution is normal and that the standard deviation is $10,350. 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 $30,700 and $45,950 in student loan debt.

c. The middle 30% of college graduates' loan debt lies between what two numbers?
     Low: $
     High: $

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