The average student loan debt for college graduates is $25,750. Suppose that that distribution is normal and that the standard deviation is $11,400. 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 $33,400 and $38,950 in student loan debt.  c.  The middle 20% of college graduates' loan debt lies between what two numbers?      Low: $      High: $

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average student loan debt for college graduates is $25,750. Suppose that that distribution is normal and that the standard deviation is $11,400. 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 $33,400 and $38,950 in student loan debt. 

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

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