The average student loan debt for college graduates is $25,350. Suppose that that distribution is normal and that the standard deviation is $12,200. Let X = the student loan debt of a randomly...

The average student loan debt for college graduates is $25,350. Suppose that that distribution is normal and that the standard deviation is $12,200. 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 $8,950 and $24,350 in student loan debt.

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