Normal Distribution

Question

The average student loan debt for college graduates is $25,300. Suppose that that distribution is normal and that the standard deviation is $11,050. 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(____,______)

b Find the probability that the college graduate has between $24,550 and $41,850 in student loan debt. ______

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

    Low: $ _____

    High: $ _______

Answer 1

a) N(25300, 11050)

b) 46%

c) low 22500.51 high 34599.91