Please give a detailed explanation, not just the response. If possible, a way to work out the problem in Excel is helpful! Thanks in advance! The average student loan debt for college graduates is...

Please give a detailed explanation, not just the response. If possible, a way to work out the problem in Excel is helpful! Thanks in advance!

The average student loan debt for college graduates is $25,650. Suppose that that distribution is normal and that the standard deviation is $13,300. 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 $19,900 and $32,700 in student loan debt.


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