The average student loan debt for college graduates is $25,250. Suppose that that distribution is normal and that the standard deviation is $12,450. 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(

25,250

,

12,450

)

b Find the probability that the college graduate has between $22,150 and $33,600 in student loan debt.

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

Low: $

High: $