The average student loan debt for college graduates is $25,500. Suppose that that distribution is normal and that the standard deviation is $11,850. Let X = the student loan debt of a randomly...

The average student loan debt for college graduates is $25,500. Suppose that that distribution is normal and that the standard deviation is $11,850. 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 $7,800 and $18,900 in student loan debt.


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