The average student loan debt for college graduates is $25,650. Suppose that that distribution is normal and that the standard deviation is $10,050. 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(,)

bFind the probability that the college graduate has between $11,950 and $31,450 in student loan debt.

c.The middle 20% of college graduates' loan debt lies between what two numbers?

Low: $

High: $