a. What is the distribution of X? X ~ N( 25850 10900 b Find the probability that the college graduate has between $30,000 and $38,750 in student loan debt. c. The middle 10% 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
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
The average student loan debt for college graduates is $25,850. Suppose that that distribution is normal
and that the standard deviation is $10,900. 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( 25850
10900
b Find the probability that the college graduate has between $30,000 and $38,750 in student loan debt.
c. The middle 10% of college graduates' loan debt lies between what two numbers?
Low: $
High: $
Hint:
Helpful videos:
• Find a Probability [+]
• Finding a Value Given a Probability [+]
Hint
Transcribed Image Text:The average student loan debt for college graduates is $25,850. Suppose that that distribution is normal and that the standard deviation is $10,900. 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( 25850 10900 b Find the probability that the college graduate has between $30,000 and $38,750 in student loan debt. c. The middle 10% of college graduates' loan debt lies between what two numbers? Low: $ High: $ Hint: Helpful videos: • Find a Probability [+] • Finding a Value Given a Probability [+] Hint
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